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1113945072 = 2431931341
BaseRepresentation
bin100001001100101…
…0111001111110000
32212122002021100220
41002121113033300
54240132220242
6302311413040
736414243162
oct10231271760
92778067326
101113945072
1152187a469
12271084180
13149a240c6
14a7d2c932
1567bdcbec
hex426573f0

1113945072 has 160 divisors (see below), whose sum is σ = 3206461440. Its totient is φ = 332121600.

The previous prime is 1113945037. The next prime is 1113945101. The reversal of 1113945072 is 2705493111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27169372 + ... + 27169412.

It is an arithmetic number, because the mean of its divisors is an integer number (20040384).

Almost surely, 21113945072 is an apocalyptic number.

1113945072 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 1113945072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603230720).

1113945072 is an abundant number, since it is smaller than the sum of its proper divisors (2092516368).

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

1113945072 is an equidigital number, since it uses as much as digits as its factorization.

1113945072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1113945072 is about 33375.8156754258. The cubic root of 1113945072 is about 1036.6239985931.

The spelling of 1113945072 in words is "one billion, one hundred thirteen million, nine hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 41 48 57 62 76 82 93 114 123 124 152 164 186 228 246 248 304 328 372 456 492 496 589 656 744 779 912 961 984 1178 1271 1488 1558 1767 1922 1968 2337 2356 2542 2883 3116 3534 3813 3844 4674 4712 5084 5766 6232 7068 7626 7688 9348 9424 10168 11532 12464 14136 15252 15376 18259 18696 20336 23064 24149 28272 29791 30504 36518 37392 39401 46128 48298 54777 59582 61008 72447 73036 78802 89373 96596 109554 118203 119164 144894 146072 157604 178746 193192 219108 236406 238328 289788 292144 315208 357492 386384 438216 472812 476656 566029 579576 630416 714984 748619 876432 945624 1132058 1159152 1221431 1429968 1497238 1698087 1891248 2245857 2264116 2442862 2994476 3396174 3664293 4491714 4528232 4885724 5988952 6792348 7328586 8983428 9056464 9771448 11977904 13584696 14657172 17966856 19542896 23207189 27169392 29314344 35933712 46414378 58628688 69621567 92828756 139243134 185657512 278486268 371315024 556972536 1113945072