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726422136 = 2331119971493
BaseRepresentation
bin101011010011000…
…101001001111000
31212121220001211120
4223103011021320
52441431002021
6200025425240
724000325536
oct5323051170
91777801746
10726422136
11343056780
1218333b220
13b76609ab
146c695156
1543b912c6
hex2b4c5278

726422136 has 128 divisors (see below), whose sum is σ = 2108332800. Its totient is φ = 206254080.

The previous prime is 726422129. The next prime is 726422153. The reversal of 726422136 is 631224627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 726422097 and 726422106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485806 + ... + 487298.

It is an arithmetic number, because the mean of its divisors is an integer number (16471350).

Almost surely, 2726422136 is an apocalyptic number.

726422136 is a gapful number since it is divisible by the number (76) 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 726422136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054166400).

726422136 is an abundant number, since it is smaller than the sum of its proper divisors (1381910664).

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

726422136 is a wasteful number, since it uses less digits than its factorization.

726422136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1625 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 726422136 is about 26952.2195004419. The cubic root of 726422136 is about 898.9378977089.

The spelling of 726422136 in words is "seven hundred twenty-six million, four hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 97 114 132 152 194 209 228 264 291 388 418 456 582 627 776 836 1067 1164 1254 1493 1672 1843 2134 2328 2508 2986 3201 3686 4268 4479 5016 5529 5972 6402 7372 8536 8958 11058 11944 12804 14744 16423 17916 20273 22116 25608 28367 32846 35832 40546 44232 49269 56734 60819 65692 81092 85101 98538 113468 121638 131384 144821 162184 170202 197076 226936 243276 289642 312037 340404 394152 434463 486552 579284 624074 680808 868926 936111 1158568 1248148 1593031 1737852 1872222 2496296 2751599 3186062 3475704 3744444 4779093 5503198 6372124 7488888 8254797 9558186 11006396 12744248 16509594 19116372 22012792 30267589 33019188 38232744 60535178 66038376 90802767 121070356 181605534 242140712 363211068 726422136