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136960000 = 21154107
BaseRepresentation
bin10000010100111…
…01100000000000
3100112201021210121
420022131200000
5240030210000
621331310024
73252066202
oct1012354000
9315637717
10136960000
1170346091
1239a4b314
13224b4728
1414292772
15c055b1a
hex829d800

136960000 has 120 divisors (see below), whose sum is σ = 345405060. Its totient is φ = 54272000.

The previous prime is 136959989. The next prime is 136960001. The reversal of 136960000 is 69631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136960001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279947 + ... + 1280053.

Almost surely, 2136960000 is an apocalyptic number.

136960000 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 136960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172702530).

136960000 is an abundant number, since it is smaller than the sum of its proper divisors (208445060).

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

136960000 is an frugal number, since it uses more digits than its factorization.

136960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 136960000 is about 11702.9910706622. The cubic root of 136960000 is about 515.4634970168.

The spelling of 136960000 in words is "one hundred thirty-six million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 128 160 200 214 250 256 320 400 428 500 512 535 625 640 800 856 1000 1024 1070 1250 1280 1600 1712 2000 2048 2140 2500 2560 2675 3200 3424 4000 4280 5000 5120 5350 6400 6848 8000 8560 10000 10240 10700 12800 13375 13696 16000 17120 20000 21400 25600 26750 27392 32000 34240 40000 42800 51200 53500 54784 64000 66875 68480 80000 85600 107000 109568 128000 133750 136960 160000 171200 214000 219136 256000 267500 273920 320000 342400 428000 535000 547840 640000 684800 856000 1070000 1095680 1280000 1369600 1712000 2140000 2739200 3424000 4280000 5478400 6848000 8560000 13696000 17120000 27392000 34240000 68480000 136960000