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97469120 = 265753821
BaseRepresentation
bin1011100111101…
…00001011000000
320210101221111102
411303310023000
5144423002440
613401033532
72262321350
oct563641300
9223357442
1097469120
1150022aa1
12287858a8
1317268848
14cd32b60
158854b15
hex5cf42c0

97469120 has 112 divisors (see below), whose sum is σ = 270589248. Its totient is φ = 32747520.

The previous prime is 97469093. The next prime is 97469149. The reversal of 97469120 is 2196479.

It is a tau number, because it is divible by the number of its divisors (112).

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, 118310 + ... + 119130.

Almost surely, 297469120 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 97469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135294624).

97469120 is an abundant number, since it is smaller than the sum of its proper divisors (173120128).

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

97469120 is a wasteful number, since it uses less digits than its factorization.

97469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 97469120 is about 9872.6450356528. The cubic root of 97469120 is about 460.2096083169.

The spelling of 97469120 in words is "ninety-seven million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 821 848 1060 1120 1484 1642 1696 1855 2120 2240 2968 3284 3392 3710 4105 4240 5747 5936 6568 7420 8210 8480 11494 11872 13136 14840 16420 16960 22988 23744 26272 28735 29680 32840 43513 45976 52544 57470 59360 65680 87026 91952 114940 118720 131360 174052 183904 217565 229880 262720 304591 348104 367808 435130 459760 609182 696208 870260 919520 1218364 1392416 1522955 1740520 1839040 2436728 2784832 3045910 3481040 4873456 6091820 6962080 9746912 12183640 13924160 19493824 24367280 48734560 97469120