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136572640 = 25541109191
BaseRepresentation
bin10000010001111…
…10111011100000
3100111222121102221
420020332323200
5234430311030
621315120424
73245563651
oct1010767340
9314877387
10136572640
1170101056
12398a3114
13223aa319
14141d1528
15becae7a
hex823eee0

136572640 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 52531200.

The previous prime is 136572619. The next prime is 136572673. The reversal of 136572640 is 46275631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 136572596 and 136572605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714945 + ... + 715135.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2136572640 is an apocalyptic number.

136572640 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 136572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

136572640 is an abundant number, since it is smaller than the sum of its proper divisors (198728480).

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

136572640 is a wasteful number, since it uses less digits than its factorization.

136572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 136572640 is about 11686.4297370925. The cubic root of 136572640 is about 514.9770813315.

The spelling of 136572640 in words is "one hundred thirty-six million, five hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 109 160 164 191 205 218 328 382 410 436 545 656 764 820 872 955 1090 1312 1528 1640 1744 1910 2180 3056 3280 3488 3820 4360 4469 6112 6560 7640 7831 8720 8938 15280 15662 17440 17876 20819 22345 30560 31324 35752 39155 41638 44690 62648 71504 78310 83276 89380 104095 125296 143008 156620 166552 178760 208190 250592 313240 333104 357520 416380 626480 666208 715040 832760 853579 1252960 1665520 1707158 3331040 3414316 4267895 6828632 8535790 13657264 17071580 27314528 34143160 68286320 136572640