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19897956 = 223213174161
BaseRepresentation
bin100101111100…
…1111001100100
31101102220212100
41023321321210
520043213311
61550252100
7331062351
oct113717144
941386770
1019897956
11102606a1
1267b7030
134178b50
1428dd628
151b30a56
hex12f9e64

19897956 has 144 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 5529600.

The previous prime is 19897951. The next prime is 19897957. The reversal of 19897956 is 65979891.

It can be written as a sum of positive squares in 8 ways, for example, as 6937956 + 12960000 = 2634^2 + 3600^2 .

It is not an unprimeable number, because it can be changed into a prime (19897951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326166 + ... + 326226.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 219897956 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 19897956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464).

19897956 is an abundant number, since it is smaller than the sum of its proper divisors (39816972).

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

19897956 is a wasteful number, since it uses less digits than its factorization.

19897956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 19897956 is about 4460.7124991418. The cubic root of 19897956 is about 270.9793242306.

It can be divided in two parts, 1989 and 7956, that multiplied together give a square (15824484 = 39782).

The spelling of 19897956 in words is "nineteen million, eight hundred ninety-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 41 51 52 61 68 78 82 102 117 122 123 153 156 164 183 204 221 234 244 246 306 366 369 442 468 492 533 549 612 663 697 732 738 793 884 1037 1066 1098 1326 1394 1476 1586 1599 1989 2074 2091 2132 2196 2379 2501 2652 2788 3111 3172 3198 3978 4148 4182 4758 4797 5002 6222 6273 6396 7137 7503 7956 8364 9061 9333 9516 9594 10004 12444 12546 13481 14274 15006 18122 18666 19188 22509 25092 26962 27183 28548 30012 32513 36244 37332 40443 42517 45018 53924 54366 65026 80886 81549 85034 90036 97539 108732 121329 127551 130052 161772 163098 170068 195078 242658 255102 292617 326196 382653 390156 485316 510204 552721 585234 765306 1105442 1170468 1530612 1658163 2210884 3316326 4974489 6632652 9948978 19897956