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19996480 = 265779113
BaseRepresentation
bin100110001000…
…1111101000000
31101121221000101
41030101331000
520104341410
61552332144
7331652530
oct114217500
941557011
1019996480
1110318719
126844054
1341b194a
1429274c0
151b4ed3a
hex1311f40

19996480 has 112 divisors (see below), whose sum is σ = 55595520. Its totient is φ = 6709248.

The previous prime is 19996469. The next prime is 19996489. The reversal of 19996480 is 8469991.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 19996480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19996489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176904 + ... + 177016.

Almost surely, 219996480 is an apocalyptic number.

19996480 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 19996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

19996480 is an abundant number, since it is smaller than the sum of its proper divisors (35599040).

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

19996480 is a wasteful number, since it uses less digits than its factorization.

19996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 19996480 is about 4471.7423897179. The cubic root of 19996480 is about 271.4258361418.

The spelling of 19996480 in words is "nineteen million, nine hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 113 140 158 160 224 226 280 316 320 395 448 452 553 560 565 632 790 791 904 1106 1120 1130 1264 1580 1582 1808 2212 2240 2260 2528 2765 3160 3164 3616 3955 4424 4520 5056 5530 6320 6328 7232 7910 8848 8927 9040 11060 12640 12656 15820 17696 17854 18080 22120 25280 25312 31640 35392 35708 36160 44240 44635 50624 62489 63280 71416 88480 89270 124978 126560 142832 176960 178540 249956 253120 285664 312445 357080 499912 571328 624890 714160 999824 1249780 1428320 1999648 2499560 2856640 3999296 4999120 9998240 19996480