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145379988 = 223313176091
BaseRepresentation
bin10001010101001…
…01001010010100
3101010120001212000
420222211022110
5244204124423
622231555300
73413465235
oct1052451224
9333501760
10145379988
1175077156
124082bb30
1324172080
141544508c
15cb6a843
hex8aa5294

145379988 has 96 divisors (see below), whose sum is σ = 429851520. Its totient is φ = 42094080.

The previous prime is 145379957. The next prime is 145379989. The reversal of 145379988 is 889973541.

145379988 is a `hidden beast` number, since 14 + 537 + 9 + 98 + 8 = 666.

It is a super-2 number, since 2×1453799882 = 42270681821760288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145379989) 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 31 ways as a sum of consecutive naturals, for example, 20823 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (4477620).

Almost surely, 2145379988 is an apocalyptic number.

145379988 is a gapful number since it is divisible by the number (18) 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 145379988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214925760).

145379988 is an abundant number, since it is smaller than the sum of its proper divisors (284471532).

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

145379988 is a wasteful number, since it uses less digits than its factorization.

145379988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6126 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 145379988 is about 12057.3623981367. The cubic root of 145379988 is about 525.8173065696.

The spelling of 145379988 in words is "one hundred forty-five million, three hundred seventy-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 6091 7956 11934 12182 18273 23868 24364 36546 54819 73092 79183 103547 109638 158366 164457 207094 219276 237549 310641 316732 328914 414188 475098 621282 657828 712647 931923 950196 1242564 1346111 1425294 1863846 2137941 2692222 2795769 2850588 3727692 4038333 4275882 5384444 5591538 8076666 8551764 11183076 12114999 16153332 24229998 36344997 48459996 72689994 145379988