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990726336 = 26331793203
BaseRepresentation
bin111011000011010…
…100100011000000
32120001020010001000
4323003110203000
54012111220321
6242150412000
733360014655
oct7303244300
92501203030
10990726336
1146926a3a6
12237961000
1312a341102
1495815c2c
155be9d826
hex3b0d48c0

990726336 has 112 divisors (see below), whose sum is σ = 2929737600. Its totient is φ = 328294656.

The previous prime is 990726313. The next prime is 990726343. The reversal of 990726336 is 633627099.

990726336 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 2 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 990726291 and 990726300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307711 + ... + 310913.

Almost surely, 2990726336 is an apocalyptic number.

990726336 is a gapful number since it is divisible by the number (96) 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 990726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464868800).

990726336 is an abundant number, since it is smaller than the sum of its proper divisors (1939011264).

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

990726336 is a wasteful number, since it uses less digits than its factorization.

990726336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 990726336 is about 31475.8055655451. The cubic root of 990726336 is about 996.8991734798.

The spelling of 990726336 in words is "nine hundred ninety million, seven hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 179 192 216 288 358 432 537 576 716 864 1074 1432 1611 1728 2148 2864 3203 3222 4296 4833 5728 6406 6444 8592 9609 9666 11456 12812 12888 17184 19218 19332 25624 25776 28827 34368 38436 38664 51248 51552 57654 76872 77328 86481 102496 103104 115308 153744 154656 172962 204992 230616 307488 309312 345924 461232 573337 614976 691848 922464 1146674 1383696 1720011 1844928 2293348 2767392 3440022 4586696 5160033 5534784 6880044 9173392 10320066 13760088 15480099 18346784 20640132 27520176 30960198 36693568 41280264 55040352 61920396 82560528 110080704 123840792 165121056 247681584 330242112 495363168 990726336