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110083072 = 2101129337
BaseRepresentation
bin1101000111110…
…11110000000000
321200010210120211
412203323300000
5211140124242
614531243504
72504455621
oct643736000
9250123524
10110083072
1157159050
1230a49594
1319a64118
1410897a48
1599e7317
hex68fbc00

110083072 has 88 divisors (see below), whose sum is σ = 249078960. Its totient is φ = 48168960.

The previous prime is 110083063. The next prime is 110083081. The reversal of 110083072 is 270380011.

It is an interprime number because it is at equal distance from previous prime (110083063) and next prime (110083081).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326488 + ... + 326824.

Almost surely, 2110083072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124539480).

110083072 is an abundant number, since it is smaller than the sum of its proper divisors (138995888).

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

110083072 is a wasteful number, since it uses less digits than its factorization.

110083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 110083072 is about 10492.0480364893. The cubic root of 110083072 is about 479.2625713651.

The spelling of 110083072 in words is "one hundred ten million, eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 337 352 464 512 638 674 704 928 1024 1276 1348 1408 1856 2552 2696 2816 3707 3712 5104 5392 5632 7414 7424 9773 10208 10784 11264 14828 14848 19546 20416 21568 29656 29696 39092 40832 43136 59312 78184 81664 86272 107503 118624 156368 163328 172544 215006 237248 312736 326656 345088 430012 474496 625472 860024 948992 1250944 1720048 1897984 2501888 3440096 3795968 5003776 6880192 10007552 13760384 27520768 55041536 110083072