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98131920 = 2435616703
BaseRepresentation
bin1011101100101…
…01111111010000
320211122121200120
411312111333100
5200110210140
613423150240
72301051615
oct566257720
9224577616
1098131920
1150435a67
1228a45380
131743b433
14d06650c
1589361d0
hex5d95fd0

98131920 has 80 divisors (see below), whose sum is σ = 309242112. Its totient is φ = 25735680.

The previous prime is 98131919. The next prime is 98131931. The reversal of 98131920 is 2913189.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 11289 + ... + 17991.

Almost surely, 298131920 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 98131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154621056).

98131920 is an abundant number, since it is smaller than the sum of its proper divisors (211110192).

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

98131920 is a wasteful number, since it uses less digits than its factorization.

98131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 98131920 is about 9906.1556620114. The cubic root of 98131920 is about 461.2504101758.

The spelling of 98131920 in words is "ninety-eight million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 6703 7320 13406 14640 20109 26812 33515 40218 53624 67030 80436 100545 107248 134060 160872 201090 268120 321744 402180 408883 536240 804360 817766 1226649 1608720 1635532 2044415 2453298 3271064 4088830 4906596 6133245 6542128 8177660 9813192 12266490 16355320 19626384 24532980 32710640 49065960 98131920