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97333040 = 2457179971
BaseRepresentation
bin1011100110100…
…10111100110000
320210011000211102
411303102330300
5144404124130
613354103532
72261213540
oct563227460
9223130742
1097333040
114aa3a832
122871aba8
131721b91c
14ccd9320
158829645
hex5cd2f30

97333040 has 80 divisors (see below), whose sum is σ = 260340480. Its totient is φ = 33150720.

The previous prime is 97332997. The next prime is 97333063. The reversal of 97333040 is 4033379.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 97332994 and 97333012.

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, 99755 + ... + 100725.

It is an arithmetic number, because the mean of its divisors is an integer number (3254256).

Almost surely, 297333040 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 97333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240).

97333040 is an abundant number, since it is smaller than the sum of its proper divisors (163007440).

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

97333040 is a wasteful number, since it uses less digits than its factorization.

97333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 97333040 is about 9865.7508583990. The cubic root of 97333040 is about 459.9953370668.

The spelling of 97333040 in words is "ninety-seven million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 716 895 971 1253 1432 1790 1942 2506 2864 3580 3884 4855 5012 6265 6797 7160 7768 9710 10024 12530 13594 14320 15536 19420 20048 25060 27188 33985 38840 50120 54376 67970 77680 100240 108752 135940 173809 271880 347618 543760 695236 869045 1216663 1390472 1738090 2433326 2780944 3476180 4866652 6083315 6952360 9733304 12166630 13904720 19466608 24333260 48666520 97333040