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19912956 = 22373743149
BaseRepresentation
bin100101111110…
…1100011111100
31101110200102220
41023331203330
520044203311
61550445340
7331154160
oct113754374
941420386
1019912956
1110270998
126803850
13418291b
142904ca0
151b35206
hex12fd8fc

19912956 has 96 divisors (see below), whose sum is σ = 56179200. Its totient is φ = 5370624.

The previous prime is 19912951. The next prime is 19912961. The reversal of 19912956 is 65921991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19912951) and next prime (19912961).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (43740) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19912951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133570 + ... + 133718.

It is an arithmetic number, because the mean of its divisors is an integer number (585200).

Almost surely, 219912956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19912956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28089600).

19912956 is an abundant number, since it is smaller than the sum of its proper divisors (36266244).

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

19912956 is a wasteful number, since it uses less digits than its factorization.

19912956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 43740, while the sum is 42.

The square root of 19912956 is about 4462.3935281416. The cubic root of 19912956 is about 271.0473993788.

The spelling of 19912956 in words is "nineteen million, nine hundred twelve thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 43 74 84 86 111 129 148 149 172 222 258 259 298 301 444 447 516 518 596 602 777 894 903 1036 1043 1204 1554 1591 1788 1806 2086 3108 3129 3182 3612 4172 4773 5513 6258 6364 6407 9546 11026 11137 12516 12814 16539 19092 19221 22052 22274 25628 33078 33411 38442 38591 44548 44849 66156 66822 76884 77182 89698 115773 133644 134547 154364 179396 231546 237059 269094 463092 474118 538188 711177 948236 1422354 1659413 2844708 3318826 4978239 6637652 9956478 19912956