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20967492 = 22372132211
BaseRepresentation
bin100111111111…
…1000001000100
31110110020222210
41033333001010
520331424432
62025223420
7343135500
oct117770104
943406883
1020967492
1110921207
127031b70
134461900
142adb300
151c928cc
hex13ff044

20967492 has 108 divisors (see below), whose sum is σ = 61918416. Its totient is φ = 5503680.

The previous prime is 20967487. The next prime is 20967497. The reversal of 20967492 is 29476902.

It is an interprime number because it is at equal distance from previous prime (20967487) and next prime (20967497).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20967492.

It is not an unprimeable number, because it can be changed into a prime (20967497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99267 + ... + 99477.

Almost surely, 220967492 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 20967492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959208).

20967492 is an abundant number, since it is smaller than the sum of its proper divisors (40950924).

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

20967492 is a wasteful number, since it uses less digits than its factorization.

20967492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 20967492 is about 4579.0274076489. The cubic root of 20967492 is about 275.7499836294.

The spelling of 20967492 in words is "twenty million, nine hundred sixty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 211 273 294 338 364 422 507 546 588 633 637 676 844 1014 1092 1183 1266 1274 1477 1911 2028 2366 2532 2548 2743 2954 3549 3822 4431 4732 5486 5908 7098 7644 8229 8281 8862 10339 10972 14196 16458 16562 17724 19201 20678 24843 31017 32916 33124 35659 38402 41356 49686 57603 62034 71318 76804 99372 106977 115206 124068 134407 142636 213954 230412 249613 268814 403221 427908 499226 537628 748839 806442 998452 1497678 1612884 1747291 2995356 3494582 5241873 6989164 10483746 20967492