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1014061152 = 253131747797
BaseRepresentation
bin111100011100010…
…101100001100000
32121200010122101110
4330130111201200
54034044424102
6244342503320
734062243336
oct7434254140
92550118343
101014061152
11480458175
12243734b40
131321213b0
149896bb56
155e05c86c
hex3c715860

1014061152 has 96 divisors (see below), whose sum is σ = 3035364192. Its totient is φ = 293658624.

The previous prime is 1014061129. The next prime is 1014061163. The reversal of 1014061152 is 2511604101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2683 + ... + 45114.

It is an arithmetic number, because the mean of its divisors is an integer number (31618377).

Almost surely, 21014061152 is an apocalyptic number.

1014061152 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 1014061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517682096).

1014061152 is an abundant number, since it is smaller than the sum of its proper divisors (2021303040).

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

1014061152 is a wasteful number, since it uses less digits than its factorization.

1014061152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47840 (or 47832 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1014061152 is about 31844.3268416841. The cubic root of 1014061152 is about 1004.6652522424.

Adding to 1014061152 its reverse (2511604101), we get a palindrome (3525665253).

The spelling of 1014061152 in words is "one billion, fourteen million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 47797 95594 143391 191188 286782 382376 573564 621361 764752 812549 1147128 1242722 1529504 1625098 1864083 2294256 2437647 2485444 3250196 3728166 4588512 4875294 4970888 6500392 7456332 9750588 9941776 10563137 13000784 14912664 19501176 19883552 21126274 26001568 29825328 31689411 39002352 42252548 59650656 63378822 78004704 84505096 126757644 169010192 253515288 338020384 507030576 1014061152