Search a number
-
+
136400700 = 223521393271
BaseRepresentation
bin10000010000101…
…00111100111100
3100111122212120210
420020110330330
5234404310300
621311312420
73244246452
oct1010247474
9314585523
10136400700
116aaa3957
123981b710
1322349c97
14141889d2
15be95050
hex8214f3c

136400700 has 72 divisors (see below), whose sum is σ = 397613440. Its totient is φ = 36100800.

The previous prime is 136400681. The next prime is 136400723. The reversal of 136400700 is 7004631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40065 + ... + 43335.

Almost surely, 2136400700 is an apocalyptic number.

136400700 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 136400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198806720).

136400700 is an abundant number, since it is smaller than the sum of its proper divisors (261212740).

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

136400700 is a wasteful number, since it uses less digits than its factorization.

136400700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 136400700 is about 11679.0710247006. The cubic root of 136400700 is about 514.7608780867.

The spelling of 136400700 in words is "one hundred thirty-six million, four hundred thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3271 3475 4170 6542 6950 8340 9813 10425 13084 13900 16355 19626 20850 32710 39252 41700 49065 65420 81775 98130 163550 196260 245325 327100 454669 490650 909338 981300 1364007 1818676 2273345 2728014 4546690 5456028 6820035 9093380 11366725 13640070 22733450 27280140 34100175 45466900 68200350 136400700