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136948480 = 285971103
BaseRepresentation
bin10000010100110…
…10101100000000
3100112200200222221
420022122230000
5240024322410
621331140424
73252020464
oct1012325400
9315620887
10136948480
1170338469
1239a44714
13224ac406
141428c4a4
15c0524da
hex829ab00

136948480 has 72 divisors (see below), whose sum is σ = 331716672. Its totient is φ = 54165504.

The previous prime is 136948457. The next prime is 136948489. The reversal of 136948480 is 84849631.

It is not an unprimeable number, because it can be changed into a prime (136948489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123609 + ... + 124711.

It is an arithmetic number, because the mean of its divisors is an integer number (4607176).

Almost surely, 2136948480 is an apocalyptic number.

136948480 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 136948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165858336).

136948480 is an abundant number, since it is smaller than the sum of its proper divisors (194768192).

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

136948480 is an equidigital number, since it uses as much as digits as its factorization.

136948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 136948480 is about 11702.4988784447. The cubic root of 136948480 is about 515.4490443640.

The spelling of 136948480 in words is "one hundred thirty-six million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1103 1280 1552 1940 2206 3104 3880 4412 5515 6208 7760 8824 11030 12416 15520 17648 22060 24832 31040 35296 44120 62080 70592 88240 106991 124160 141184 176480 213982 282368 352960 427964 534955 705920 855928 1069910 1411840 1711856 2139820 3423712 4279640 6847424 8559280 13694848 17118560 27389696 34237120 68474240 136948480