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100628080 = 2457179693
BaseRepresentation
bin1011111111101…
…11011001110000
321000100102202221
411333313121300
5201230044310
613552450424
72331216220
oct577673160
9230312687
10100628080
1151890403
1229849a14
1317b03657
14d516080
158c7aada
hex5ff7670

100628080 has 40 divisors (see below), whose sum is σ = 267384672. Its totient is φ = 34500864.

The previous prime is 100628071. The next prime is 100628089. The reversal of 100628080 is 80826001.

It is an interprime number because it is at equal distance from previous prime (100628071) and next prime (100628089).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100628089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89287 + ... + 90406.

Almost surely, 2100628080 is an apocalyptic number.

100628080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100628080 is an abundant number, since it is smaller than the sum of its proper divisors (166756592).

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

100628080 is a wasteful number, since it uses less digits than its factorization.

100628080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179713 (or 179707 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 100628080 is about 10031.3548436889. The cubic root of 100628080 is about 465.1286189858.

The spelling of 100628080 in words is "one hundred million, six hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 179693 359386 718772 898465 1257851 1437544 1796930 2515702 2875088 3593860 5031404 6289255 7187720 10062808 12578510 14375440 20125616 25157020 50314040 100628080