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100607090 = 2519229312
BaseRepresentation
bin1011111111100…
…10010001110010
321000022100222112
411333302101302
5201223411330
613552205322
72331101063
oct577622162
9230270875
10100607090
1151876661
1229839842
1317ac6c2c
14d50c56a
158c74795
hex5ff2472

100607090 has 72 divisors (see below), whose sum is σ = 204299820. Its totient is φ = 35622720.

The previous prime is 100607069. The next prime is 100607093. The reversal of 100607090 is 90706001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100260169 + 346921 = 10013^2 + 589^2 .

It is not an unprimeable number, because it can be changed into a prime (100607093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3245375 + ... + 3245405.

Almost surely, 2100607090 is an apocalyptic number.

100607090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100607090 is an abundant number, since it is smaller than the sum of its proper divisors (103692730).

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

100607090 is a wasteful number, since it uses less digits than its factorization.

100607090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 100607090 is about 10030.3085695307. The cubic root of 100607090 is about 465.0962763613.

The spelling of 100607090 in words is "one hundred million, six hundred seven thousand, ninety".

Divisors: 1 2 5 10 19 29 31 38 58 62 95 145 155 190 290 310 361 551 589 722 899 961 1102 1178 1798 1805 1922 2755 2945 3610 4495 4805 5510 5890 8990 9610 10469 11191 17081 18259 20938 22382 27869 34162 36518 52345 55738 55955 85405 91295 104690 111910 139345 170810 182590 278690 324539 346921 529511 649078 693842 1059022 1622695 1734605 2647555 3245390 3469210 5295110 10060709 20121418 50303545 100607090