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97374720 = 293531409
BaseRepresentation
bin1011100110111…
…01001000000000
320210020011000010
411303131020000
5144411442340
613355024520
72261446212
oct563351000
9223204003
1097374720
114aa69083
122873b140
13172348a1
14cd0a5b2
158836b80
hex5cdd200

97374720 has 160 divisors (see below), whose sum is σ = 322122240. Its totient is φ = 25067520.

The previous prime is 97374703. The next prime is 97374731. The reversal of 97374720 is 2747379.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237876 + ... + 238284.

It is an arithmetic number, because the mean of its divisors is an integer number (2013264).

Almost surely, 297374720 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 97374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161061120).

97374720 is an abundant number, since it is smaller than the sum of its proper divisors (224747520).

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

97374720 is a wasteful number, since it uses less digits than its factorization.

97374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 97374720 is about 9867.8629905365. The cubic root of 97374720 is about 460.0609875030.

The spelling of 97374720 in words is "ninety-seven million, three hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 409 465 480 496 512 620 640 744 768 818 930 960 992 1227 1240 1280 1488 1536 1636 1860 1920 1984 2045 2454 2480 2560 2976 3272 3720 3840 3968 4090 4908 4960 5952 6135 6544 7440 7680 7936 8180 9816 9920 11904 12270 12679 13088 14880 15872 16360 19632 19840 23808 24540 25358 26176 29760 32720 38037 39264 39680 47616 49080 50716 52352 59520 63395 65440 76074 78528 79360 98160 101432 104704 119040 126790 130880 152148 157056 190185 196320 202864 209408 238080 253580 261760 304296 314112 380370 392640 405728 507160 523520 608592 628224 760740 785280 811456 1014320 1047040 1217184 1521480 1570560 1622912 2028640 2434368 3042960 3141120 3245824 4057280 4868736 6085920 6491648 8114560 9737472 12171840 16229120 19474944 24343680 32458240 48687360 97374720