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134202640 = 245111311731
BaseRepresentation
bin1111111111111…
…00010100010000
3100100112012102011
413333330110100
5233323441030
621152232304
73216463225
oct777742420
9310465364
10134202640
1169832480
1238b3b694
1321a5a660
1413b7594c
15bbadb2a
hex7ffc510

134202640 has 80 divisors (see below), whose sum is σ = 366601536. Its totient is φ = 45043200.

The previous prime is 134202637. The next prime is 134202647. The reversal of 134202640 is 46202431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (134202647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5575 + ... + 17305.

Almost surely, 2134202640 is an apocalyptic number.

134202640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183300768).

134202640 is an abundant number, since it is smaller than the sum of its proper divisors (232398896).

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

134202640 is a wasteful number, since it uses less digits than its factorization.

134202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 134202640 is about 11584.5863111291. The cubic root of 134202640 is about 511.9808138969.

The spelling of 134202640 in words is "one hundred thirty-four million, two hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 11731 23462 46924 58655 93848 117310 129041 152503 187696 234620 258082 305006 469240 516164 610012 645205 762515 938480 1032328 1220024 1290410 1525030 1677533 2064656 2440048 2580820 3050060 3355066 5161640 6100120 6710132 8387665 10323280 12200240 13420264 16775330 26840528 33550660 67101320 134202640