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1114300152 = 233471671471
BaseRepresentation
bin100001001101010…
…1101111011111000
32212122202022110000
41002122231323320
54240230101102
6302323153000
736420252330
oct10232557370
92778668400
101114300152
11521aa2219
12271215760
13149b19904
14a7dc20c0
1567c5d01c
hex426adef8

1114300152 has 160 divisors (see below), whose sum is σ = 3590737920. Its totient is φ = 316249920.

The previous prime is 1114300141. The next prime is 1114300153. The reversal of 1114300152 is 2510034111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114300153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 756777 + ... + 758247.

It is an arithmetic number, because the mean of its divisors is an integer number (22442112).

Almost surely, 21114300152 is an apocalyptic number.

1114300152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114300152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795368960).

1114300152 is an abundant number, since it is smaller than the sum of its proper divisors (2476437768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114300152 is a wasteful number, since it uses less digits than its factorization.

1114300152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1114300152 is about 33381.1346721468. The cubic root of 1114300152 is about 1036.7341312964.

Adding to 1114300152 its reverse (2510034111), we get a palindrome (3624334263).

The spelling of 1114300152 in words is "one billion, one hundred fourteen million, three hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 167 168 189 216 252 324 334 378 501 504 567 648 668 756 1002 1134 1169 1336 1471 1503 1512 2004 2268 2338 2942 3006 3507 4008 4413 4509 4536 4676 5884 6012 7014 8826 9018 9352 10297 10521 11768 12024 13239 13527 14028 17652 18036 20594 21042 26478 27054 28056 30891 31563 35304 36072 39717 41188 42084 52956 54108 61782 63126 79434 82376 84168 92673 94689 105912 108216 119151 123564 126252 158868 185346 189378 238302 245657 247128 252504 278019 317736 370692 378756 476604 491314 556038 736971 741384 757512 834057 953208 982628 1112076 1473942 1668114 1719599 1965256 2210913 2224152 2947884 3336228 3439198 4421826 5158797 5895768 6632739 6672456 6878396 8843652 10317594 13265478 13756792 15476391 17687304 19898217 20635188 26530956 30952782 39796434 41270376 46429173 53061912 61905564 79592868 92858346 123811128 139287519 159185736 185716692 278575038 371433384 557150076 1114300152