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162420804 = 2232713431153
BaseRepresentation
bin10011010111001…
…01100001000100
3102022121211110100
421223211201010
5313034431204
624041124100
74011361020
oct1153454104
9368554410
10162420804
1183756177
1246489630
132785a5b0
14177dd380
15e3d4a39
hex9ae5844

162420804 has 144 divisors (see below), whose sum is σ = 517508992. Its totient is φ = 41803776.

The previous prime is 162420799. The next prime is 162420823. The reversal of 162420804 is 408024261.

162420804 is a `hidden beast` number, since 162 + 420 + 80 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140292 + ... + 141444.

Almost surely, 2162420804 is an apocalyptic number.

162420804 is a gapful number since it is divisible by the number (14) 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 162420804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258754496).

162420804 is an abundant number, since it is smaller than the sum of its proper divisors (355088188).

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

162420804 is a wasteful number, since it uses less digits than its factorization.

162420804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 162420804 is about 12744.4420827277. The cubic root of 162420804 is about 545.6077769192.

The spelling of 162420804 in words is "one hundred sixty-two million, four hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 43 52 63 78 84 86 91 117 126 129 156 172 182 234 252 258 273 301 364 387 468 516 546 559 602 774 819 903 1092 1118 1153 1204 1548 1638 1677 1806 2236 2306 2709 3276 3354 3459 3612 3913 4612 5031 5418 6708 6918 7826 8071 10062 10377 10836 11739 13836 14989 15652 16142 20124 20754 23478 24213 29978 32284 35217 41508 44967 46956 48426 49579 59956 70434 72639 89934 96852 99158 104923 134901 140868 145278 148737 179868 198316 209846 269802 290556 297474 314769 347053 419692 446211 539604 594948 629538 644527 694106 892422 944307 1041159 1259076 1289054 1388212 1784844 1888614 1933581 2082318 2578108 3123477 3777228 3867162 4164636 4511689 5800743 6246954 7734324 9023378 11601486 12493908 13535067 18046756 23202972 27070134 40605201 54140268 81210402 162420804