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112974720 = 2735292029
BaseRepresentation
bin1101011101111…
…01101110000000
321212120201011220
412232331232000
5212410142340
615113235040
72541161235
oct656755600
9255521156
10112974720
1158853641
1231a02a80
131a537361
141100b78c
159db8ed0
hex6bbdb80

112974720 has 128 divisors (see below), whose sum is σ = 372708000. Its totient is φ = 29073408.

The previous prime is 112974713. The next prime is 112974739. The reversal of 112974720 is 27479211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54666 + ... + 56694.

Almost surely, 2112974720 is an apocalyptic number.

112974720 is a gapful number since it is divisible by the number (10) 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 112974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186354000).

112974720 is an abundant number, since it is smaller than the sum of its proper divisors (259733280).

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

112974720 is a wasteful number, since it uses less digits than its factorization.

112974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 112974720 is about 10628.9566750458. The cubic root of 112974720 is about 483.4227574005.

The spelling of 112974720 in words is "one hundred twelve million, nine hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2029 2320 2784 3480 3712 4058 4640 5568 6087 6960 8116 9280 10145 11136 12174 13920 16232 18560 20290 24348 27840 30435 32464 40580 48696 55680 58841 60870 64928 81160 97392 117682 121740 129856 162320 176523 194784 235364 243480 259712 294205 324640 353046 389568 470728 486960 588410 649280 706092 779136 882615 941456 973920 1176820 1298560 1412184 1765230 1882912 1947840 2353640 2824368 3530460 3765824 3895680 4707280 5648736 7060920 7531648 9414560 11297472 14121840 18829120 22594944 28243680 37658240 56487360 112974720