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101972496 = 24313116217
BaseRepresentation
bin1100001001111…
…11101000010000
321002212201222010
412010333220100
5202101104441
614041342520
72345515623
oct604775020
9232781863
10101972496
115261949a
122a197a40
1318184572
14d785dba
158e44116
hex613fa10

101972496 has 40 divisors (see below), whose sum is σ = 265456224. Its totient is φ = 33729280.

The previous prime is 101972467. The next prime is 101972503. The reversal of 101972496 is 694279101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1821 + ... + 14396.

Almost surely, 2101972496 is an apocalyptic number.

101972496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101972496 is an abundant number, since it is smaller than the sum of its proper divisors (163483728).

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

101972496 is a wasteful number, since it uses less digits than its factorization.

101972496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16359 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 101972496 is about 10098.1431956573. The cubic root of 101972496 is about 467.1908730703.

The spelling of 101972496 in words is "one hundred one million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 16217 32434 48651 64868 97302 129736 194604 259472 389208 778416 2124427 4248854 6373281 8497708 12746562 16995416 25493124 33990832 50986248 101972496