Search a number
-
+
136379520 = 2732523677
BaseRepresentation
bin10000010000011…
…11110010000000
3100111121210112100
420020033302000
5234403121040
621311030400
73244130634
oct1010176200
9314553470
10136379520
116aa89a52
123980b400
1322340454
1414180dc4
15be8db30
hex820fc80

136379520 has 96 divisors (see below), whose sum is σ = 470955420. Its totient is φ = 36366336.

The previous prime is 136379513. The next prime is 136379543. The reversal of 136379520 is 25973631.

136379520 is a `hidden beast` number, since 1 + 3 + 63 + 79 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 2005056 = 11592^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6079 + ... + 17598.

Almost surely, 2136379520 is an apocalyptic number.

136379520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136379520 is an abundant number, since it is smaller than the sum of its proper divisors (334575900).

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

136379520 is a wasteful number, since it uses less digits than its factorization.

136379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23702 (or 23687 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 136379520 is about 11678.1642392972. The cubic root of 136379520 is about 514.7342330628.

The spelling of 136379520 in words is "one hundred thirty-six million, three hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 23677 47354 71031 94708 118385 142062 189416 213093 236770 284124 355155 378832 426186 473540 568248 710310 757664 852372 947080 1065465 1136496 1420620 1515328 1704744 1894160 2130930 2272992 2841240 3030656 3409488 3788320 4261860 4545984 5682480 6818976 7576640 8523720 9091968 11364960 13637952 15153280 17047440 22729920 27275904 34094880 45459840 68189760 136379520