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90067068 = 2232713191447
BaseRepresentation
bin1010101111001…
…01000001111100
320021110212210100
411113211001330
5141024121233
612534241100
72142362130
oct527450174
9207425710
1090067068
11469277a3
12261b6190
1315876630
14bd673c0
157d91813
hex55e507c

90067068 has 144 divisors (see below), whose sum is σ = 295160320. Its totient is φ = 22488192.

The previous prime is 90067067. The next prime is 90067091. The reversal of 90067068 is 86076009.

It is a super-2 number, since 2×900670682 = 16224153476233248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90067063) 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, 61521 + ... + 62967.

Almost surely, 290067068 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 90067068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147580160).

90067068 is an abundant number, since it is smaller than the sum of its proper divisors (205093252).

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

90067068 is a wasteful number, since it uses less digits than its factorization.

90067068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90067068 is about 9490.3671161868. The cubic root of 90067068 is about 448.2517651096.

The spelling of 90067068 in words is "ninety million, sixty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1447 1482 1596 1638 1729 2223 2394 2894 2964 3276 3458 4341 4446 4788 5187 5788 6916 8682 8892 10129 10374 13023 15561 17364 18811 20258 20748 26046 27493 30387 31122 37622 40516 52092 54986 56433 60774 62244 75244 82479 91161 109972 112866 121548 131677 164958 169299 182322 192451 225732 247437 263354 329916 338598 357409 364644 384902 395031 494874 526708 577353 677196 714818 769804 790062 989748 1072227 1154706 1185093 1429636 1580124 1732059 2144454 2309412 2370186 2501863 3216681 3464118 4288908 4740372 5003726 6433362 6928236 7505589 10007452 12866724 15011178 22516767 30022356 45033534 90067068