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112597344 = 2533194
BaseRepresentation
bin1101011011000…
…01100101100000
321211212112112000
412231201211200
5212311103334
615101204000
72535030066
oct655414540
9254775460
10112597344
1158616062
1231860600
131a434662
1410d50036
159d42299
hex6b61960

112597344 has 120 divisors (see below), whose sum is σ = 346653720. Its totient is φ = 35557056.

The previous prime is 112597333. The next prime is 112597379. The reversal of 112597344 is 443795211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 112597299 and 112597308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5926167 + ... + 5926185.

It is an arithmetic number, because the mean of its divisors is an integer number (2888781).

Almost surely, 2112597344 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 112597344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173326860).

112597344 is an abundant number, since it is smaller than the sum of its proper divisors (234056376).

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

112597344 is an frugal number, since it uses more digits than its factorization.

112597344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 24 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 112597344 is about 10611.1895657367. The cubic root of 112597344 is about 482.8838886051.

The spelling of 112597344 in words is "one hundred twelve million, five hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 361 432 456 513 608 684 722 864 912 1026 1083 1368 1444 1824 2052 2166 2736 2888 3249 4104 4332 5472 5776 6498 6859 8208 8664 9747 11552 12996 13718 16416 17328 19494 20577 25992 27436 34656 38988 41154 51984 54872 61731 77976 82308 103968 109744 123462 130321 155952 164616 185193 219488 246924 260642 311904 329232 370386 390963 493848 521284 658464 740772 781926 987696 1042568 1172889 1481544 1563852 1975392 2085136 2345778 2963088 3127704 3518667 4170272 4691556 5926176 6255408 7037334 9383112 12510816 14074668 18766224 28149336 37532448 56298672 112597344