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100097980 = 22543239487
BaseRepresentation
bin1011111011101…
…01111110111100
320222100111121121
411331311332330
5201111113410
613533240324
72323550563
oct575657674
9228314547
10100097980
1151559104
12296330a4
1317979298
14d418bda
158bc39da
hex5f75fbc

100097980 has 48 divisors (see below), whose sum is σ = 216437760. Its totient is φ = 38864448.

The previous prime is 100097957. The next prime is 100097981. The reversal of 100097980 is 89790001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100097981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205297 + ... + 205783.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2100097980 is an apocalyptic number.

100097980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100097980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108218880).

100097980 is an abundant number, since it is smaller than the sum of its proper divisors (116339780).

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

100097980 is a wasteful number, since it uses less digits than its factorization.

100097980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 100097980 is about 10004.8978005775. The cubic root of 100097980 is about 464.3104281688.

The spelling of 100097980 in words is "one hundred million, ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 239 430 478 487 860 956 974 1195 1948 2390 2435 4780 4870 9740 10277 20554 20941 41108 41882 51385 83764 102770 104705 116393 205540 209410 232786 418820 465572 581965 1163930 2327860 5004899 10009798 20019596 25024495 50048990 100097980