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145766412 = 223311294231
BaseRepresentation
bin10001011000000…
…11100000001100
3101011021200221000
420230003200030
5244304011122
622244140300
73416664651
oct1054034014
9334250830
10145766412
1175310510
1240997690
1324278c1c
1415505c28
15cbe50ac
hex8b0380c

145766412 has 96 divisors (see below), whose sum is σ = 426585600. Its totient is φ = 42638400.

The previous prime is 145766389. The next prime is 145766417. The reversal of 145766412 is 214667541.

145766412 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 6 + 641 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (145766417) 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, 32337 + ... + 36567.

It is an arithmetic number, because the mean of its divisors is an integer number (4443600).

Almost surely, 2145766412 is an apocalyptic number.

145766412 is a gapful number since it is divisible by the number (12) 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 145766412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213292800).

145766412 is an abundant number, since it is smaller than the sum of its proper divisors (280819188).

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

145766412 is a wasteful number, since it uses less digits than its factorization.

145766412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4276 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 145766412 is about 12073.3761641059. The cubic root of 145766412 is about 526.2827733514.

The spelling of 145766412 in words is "one hundred forty-five million, seven hundred sixty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 4231 5742 8462 8613 11484 12693 16924 17226 25386 34452 38079 46541 50772 76158 93082 114237 122699 139623 152316 186164 228474 245398 279246 368097 418869 456948 490796 558492 736194 837738 1104291 1256607 1349689 1472388 1675476 2208582 2513214 2699378 3312873 4049067 4417164 5026428 5398756 6625746 8098134 12147201 13251492 16196268 24294402 36441603 48588804 72883206 145766412