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152163440 = 245111347283
BaseRepresentation
bin10010001000111…
…01010001110000
3101121022200222222
421010131101300
5302423212230
623033220212
73525240122
oct1104352160
9347280888
10152163440
117898a710
1242b61668
13256a8850
14162cd212
15d55a6e5
hex911d470

152163440 has 160 divisors (see below), whose sum is σ = 425972736. Its totient is φ = 49812480.

The previous prime is 152163433. The next prime is 152163461. The reversal of 152163440 is 44361251.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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, 537539 + ... + 537821.

Almost surely, 2152163440 is an apocalyptic number.

152163440 is a gapful number since it is divisible by the number (10) 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 152163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212986368).

152163440 is an abundant number, since it is smaller than the sum of its proper divisors (273809296).

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

152163440 is a wasteful number, since it uses less digits than its factorization.

152163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 152163440 is about 12335.4545923529. The cubic root of 152163440 is about 533.8715434913.

The spelling of 152163440 in words is "one hundred fifty-two million, one hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 47 52 55 65 80 88 94 104 110 130 143 176 188 208 220 235 260 283 286 376 440 470 517 520 566 572 611 715 752 880 940 1034 1040 1132 1144 1222 1415 1430 1880 2068 2264 2288 2444 2585 2830 2860 3055 3113 3679 3760 4136 4528 4888 5170 5660 5720 6110 6226 6721 7358 8272 9776 10340 11320 11440 12220 12452 13301 13442 14716 15565 18395 20680 22640 24440 24904 26602 26884 29432 31130 33605 36790 40469 41360 48880 49808 53204 53768 58864 62260 66505 67210 73580 80938 106408 107536 124520 133010 134420 146311 147160 161876 172913 202345 212816 249040 266020 268840 292622 294320 323752 345826 404690 532040 537680 585244 647504 691652 731555 809380 864565 1064080 1170488 1383304 1463110 1618760 1729130 1902043 2340976 2766608 2926220 3237520 3458260 3804086 5852440 6916520 7608172 9510215 11704880 13833040 15216344 19020430 30432688 38040860 76081720 152163440