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97130460 = 22357281823
BaseRepresentation
bin1011100101000…
…01011111011100
320202202201221110
411302201133130
5144331133320
613345502020
72256411120
oct562413734
9222681843
1097130460
114a911609
1228641910
131717a65b
14cc85580
1587d95e0
hex5ca17dc

97130460 has 96 divisors (see below), whose sum is σ = 312302592. Its totient is φ = 22095360.

The previous prime is 97130459. The next prime is 97130479. The reversal of 97130460 is 6403179.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117609 + ... + 118431.

It is an arithmetic number, because the mean of its divisors is an integer number (3253152).

Almost surely, 297130460 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 97130460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156151296).

97130460 is an abundant number, since it is smaller than the sum of its proper divisors (215172132).

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

97130460 is a wasteful number, since it uses less digits than its factorization.

97130460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 97130460 is about 9855.4786793945. The cubic root of 97130460 is about 459.6759848040.

The spelling of 97130460 in words is "ninety-seven million, one hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 823 843 1124 1405 1646 1686 1967 2469 2810 3292 3372 3934 4115 4215 4938 5620 5761 5901 7868 8230 8430 9835 9876 11522 11802 12345 16460 16860 17283 19670 23044 23604 24690 28805 29505 34566 39340 49380 57610 59010 69132 86415 115220 118020 172830 231263 345660 462526 693789 925052 1156315 1387578 1618841 2312630 2775156 3237682 3468945 4625260 4856523 6475364 6937890 8094205 9713046 13875780 16188410 19426092 24282615 32376820 48565230 97130460