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125087690 = 25721373269
BaseRepresentation
bin1110111010010…
…10111111001010
322201101010001102
413131022333022
5224010301230
620225021402
73046141100
oct735127712
9281333042
10125087690
1164677262
1235a84862
131cbb88b0
1412881c70
15aead045
hex774afca

125087690 has 96 divisors (see below), whose sum is σ = 286992720. Its totient is φ = 38900736.

The previous prime is 125087687. The next prime is 125087693. The reversal of 125087690 is 96780521.

It is an interprime number because it is at equal distance from previous prime (125087687) and next prime (125087693).

It can be written as a sum of positive squares in 8 ways, for example, as 10233601 + 114854089 = 3199^2 + 10717^2 .

It is a super-2 number, since 2×1250876902 = 31293860379072200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125087693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464876 + ... + 465144.

Almost surely, 2125087690 is an apocalyptic number.

125087690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125087690 is an abundant number, since it is smaller than the sum of its proper divisors (161905030).

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

125087690 is a wasteful number, since it uses less digits than its factorization.

125087690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 125087690 is about 11184.2608159860. The cubic root of 125087690 is about 500.1168926701.

The spelling of 125087690 in words is "one hundred twenty-five million, eighty-seven thousand, six hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 73 91 98 130 146 182 245 269 365 455 490 511 538 637 730 910 949 1022 1274 1345 1883 1898 2555 2690 3185 3497 3577 3766 4745 5110 6370 6643 6994 7154 9415 9490 13181 13286 17485 17885 18830 19637 24479 26362 33215 34970 35770 39274 46501 48958 65905 66430 93002 98185 122395 131810 137459 171353 196370 232505 244790 255281 274918 342706 465010 510562 687295 856765 962213 1276405 1374590 1713530 1786967 1924426 2552810 3573934 4811065 8934835 9622130 12508769 17869670 25017538 62543845 125087690