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1113827148 = 2232717318387
BaseRepresentation
bin100001001100011…
…1010011101001100
32212121212021121100
41002120322131030
54240114432043
6302305103100
736413242320
oct10230723514
92777767540
101113827148
115217a9905
12271027a90
131499b2525
14a7cdb980
1567bb7cd3
hex4263a74c

1113827148 has 144 divisors (see below), whose sum is σ = 3517323264. Its totient is φ = 289820160.

The previous prime is 1113827147. The next prime is 1113827149. The reversal of 1113827148 is 8417283111.

It is an interprime number because it is at equal distance from previous prime (1113827147) and next prime (1113827149).

It is a super-2 number, since 2×11138271482 = 2481221831243627808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1113827147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128611 + ... + 136997.

It is an arithmetic number, because the mean of its divisors is an integer number (24425856).

Almost surely, 21113827148 is an apocalyptic number.

1113827148 is a gapful number since it is divisible by the number (18) 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 1113827148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758661632).

1113827148 is an abundant number, since it is smaller than the sum of its proper divisors (2403496116).

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

1113827148 is a wasteful number, since it uses less digits than its factorization.

1113827148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8447 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 1113827148 is about 33374.0490201594. The cubic root of 1113827148 is about 1036.5874177462.

The spelling of 1113827148 in words is "one billion, one hundred thirteen million, eight hundred twenty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 8387 9486 11067 14756 16774 18972 22134 25161 33201 33548 44268 50322 58709 66402 75483 100644 117418 132804 142579 150966 176127 234836 259997 285158 301932 352254 427737 519994 528381 570316 704508 779991 855474 998053 1039988 1056762 1283211 1559982 1710948 1819979 1996106 2113524 2339973 2566422 2994159 3119964 3639958 3992212 4419949 4679946 5132844 5459937 5988318 7279916 8839898 8982477 9359892 10919874 11976636 13259847 16379811 17679796 17964954 21839748 26519694 30939643 32759622 35929908 39779541 53039388 61879286 65519244 79559082 92818929 123758572 159118164 185637858 278456787 371275716 556913574 1113827148