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145868976 = 243211175417
BaseRepresentation
bin10001011000111…
…00100010110000
3101011110220121200
420230130202300
5244320301401
622250251200
73420602661
oct1054344260
9334426550
10145868976
1175380580
1240a26b00
13242b3806
1415531368
15cc15686
hex8b1c8b0

145868976 has 120 divisors (see below), whose sum is σ = 471626064. Its totient is φ = 41594880.

The previous prime is 145868903. The next prime is 145868977. The reversal of 145868976 is 679868541.

It is not an unprimeable number, because it can be changed into a prime (145868977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24220 + ... + 29636.

Almost surely, 2145868976 is an apocalyptic number.

145868976 is a gapful number since it is divisible by the number (16) 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 145868976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235813032).

145868976 is an abundant number, since it is smaller than the sum of its proper divisors (325757088).

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

145868976 is a wasteful number, since it uses less digits than its factorization.

145868976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5450 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 145868976 is about 12077.6229449342. The cubic root of 145868976 is about 526.4061785782.

The spelling of 145868976 in words is "one hundred forty-five million, eight hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 5417 6732 8976 10834 13464 16251 21668 26928 32502 43336 48753 59587 65004 86672 92089 97506 119174 130008 178761 184178 195012 238348 260016 276267 357522 368356 390024 476696 536283 552534 715044 736712 780048 828801 953392 1012979 1072566 1105068 1430088 1473424 1657602 2025958 2145132 2210136 2860176 3038937 3315204 4051916 4290264 4420272 6077874 6630408 8103832 8580528 9116811 12155748 13260816 16207664 18233622 24311496 36467244 48622992 72934488 145868976