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95113680 = 24353710711
BaseRepresentation
bin1011010101101…
…01000111010000
320121222021102220
411222311013100
5143322114210
613234341040
72233311234
oct552650720
9217867386
1095113680
1149764352
1227a2a780
13169226ac
14c8bc5c4
15853bc70
hex5ab51d0

95113680 has 80 divisors (see below), whose sum is σ = 302849664. Its totient is φ = 24675840.

The previous prime is 95113679. The next prime is 95113699. The reversal of 95113680 is 8631159.

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

It is a super-2 number, since 2×951136802 = 18093224246284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3525 + ... + 14235.

Almost surely, 295113680 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 95113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151424832).

95113680 is an abundant number, since it is smaller than the sum of its proper divisors (207735984).

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

95113680 is a wasteful number, since it uses less digits than its factorization.

95113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 95113680 is about 9752.6242622178. The cubic root of 95113680 is about 456.4721947693.

The spelling of 95113680 in words is "ninety-five million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 10711 21422 32133 42844 53555 64266 85688 107110 128532 160665 171376 214220 257064 321330 396307 428440 514128 642660 792614 856880 1188921 1285320 1585228 1981535 2377842 2570640 3170456 3963070 4755684 5944605 6340912 7926140 9511368 11889210 15852280 19022736 23778420 31704560 47556840 95113680