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136784010 = 235112914293
BaseRepresentation
bin10000010011100…
…10100010001010
3100112101100101110
420021302202022
5240004042020
621323431150
73250434126
oct1011624212
9315340343
10136784010
1170235940
12399854b6
13224525ac
1414248586
15c01d8e0
hex827288a

136784010 has 64 divisors (see below), whose sum is σ = 370500480. Its totient is φ = 32014080.

The previous prime is 136784003. The next prime is 136784029. The reversal of 136784010 is 10487631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424 + ... + 16716.

It is an arithmetic number, because the mean of its divisors is an integer number (5789070).

Almost surely, 2136784010 is an apocalyptic number.

136784010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136784010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185250240).

136784010 is an abundant number, since it is smaller than the sum of its proper divisors (233716470).

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

136784010 is a wasteful number, since it uses less digits than its factorization.

136784010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14343.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 136784010 is about 11695.4696357179. The cubic root of 136784010 is about 515.2426166998.

The spelling of 136784010 in words is "one hundred thirty-six million, seven hundred eighty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 14293 28586 42879 71465 85758 142930 157223 214395 314446 414497 428790 471669 786115 828994 943338 1243491 1572230 2072485 2358345 2486982 4144970 4559467 4716690 6217455 9118934 12434910 13678401 22797335 27356802 45594670 68392005 136784010