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135614010 = 23573311951
BaseRepresentation
bin10000001010101…
…00111000111010
3100110011220110010
420011110320322
5234204122020
621242402350
73234462060
oct1005247072
9313156403
10135614010
116a6068a4
12395003b6
1322132b9c
1414022030
15bd8bde0
hex8154e3a

135614010 has 64 divisors (see below), whose sum is σ = 373284864. Its totient is φ = 30888000.

The previous prime is 135613993. The next prime is 135614021. The reversal of 135614010 is 10416531.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 68535 + ... + 70485.

It is an arithmetic number, because the mean of its divisors is an integer number (5832576).

Almost surely, 2135614010 is an apocalyptic number.

135614010 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 135614010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186642432).

135614010 is an abundant number, since it is smaller than the sum of its proper divisors (237670854).

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

135614010 is a wasteful number, since it uses less digits than its factorization.

135614010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 135614010 is about 11645.3428459621. The cubic root of 135614010 is about 513.7693429294.

It can be divided in two parts, 13561 and 4010, that added together give a palindrome (17571).

The spelling of 135614010 in words is "one hundred thirty-five million, six hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 331 662 993 1655 1951 1986 2317 3310 3902 4634 4965 5853 6951 9755 9930 11585 11706 13657 13902 19510 23170 27314 29265 34755 40971 58530 68285 69510 81942 136570 204855 409710 645781 1291562 1937343 3228905 3874686 4520467 6457810 9040934 9686715 13561401 19373430 22602335 27122802 45204670 67807005 135614010