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19960992 = 253517151
BaseRepresentation
bin100110000100…
…1010010100000
31101120010100000
41030021102200
520102222432
61551500000
7331444212
oct114112240
941503300
1019960992
11102a3a97
126827600
13419b74c
1429185b2
151b4457c
hex13094a0

19960992 has 144 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 6220800.

The previous prime is 19960943. The next prime is 19961003. The reversal of 19960992 is 29906991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132117 + ... + 132267.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 219960992 is an apocalyptic number.

19960992 is a gapful number since it is divisible by the number (12) 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 19960992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

19960992 is an abundant number, since it is smaller than the sum of its proper divisors (42780960).

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

19960992 is a wasteful number, since it uses less digits than its factorization.

19960992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 19960992 is about 4467.7725994057. The cubic root of 19960992 is about 271.2651734665.

The spelling of 19960992 in words is "nineteen million, nine hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 151 153 162 204 216 243 272 288 302 306 324 408 432 453 459 486 544 604 612 648 816 864 906 918 972 1208 1224 1296 1359 1377 1632 1812 1836 1944 2416 2448 2567 2592 2718 2754 3624 3672 3888 4077 4131 4832 4896 5134 5436 5508 7248 7344 7701 7776 8154 8262 10268 10872 11016 12231 14496 14688 15402 16308 16524 20536 21744 22032 23103 24462 30804 32616 33048 36693 41072 43488 44064 46206 48924 61608 65232 66096 69309 73386 82144 92412 97848 123216 130464 132192 138618 146772 184824 195696 207927 246432 277236 293544 369648 391392 415854 554472 587088 623781 739296 831708 1108944 1174176 1247562 1663416 2217888 2495124 3326832 4990248 6653664 9980496 19960992