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152043320 = 2351113191399
BaseRepresentation
bin10010000111111…
…11111100111000
3101121002121020002
421003333330320
5302410341240
623030452132
73524226662
oct1103777470
9347077202
10152043320
1178908440
1242b04048
1325665c80
141629b532
15d534d15
hex90fff38

152043320 has 128 divisors (see below), whose sum is σ = 423360000. Its totient is φ = 48314880.

The previous prime is 152043289. The next prime is 152043349. The reversal of 152043320 is 23340251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152043292 and 152043301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107981 + ... + 109379.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2152043320 is an apocalyptic number.

152043320 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 152043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

152043320 is an abundant number, since it is smaller than the sum of its proper divisors (271316680).

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

152043320 is a wasteful number, since it uses less digits than its factorization.

152043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 152043320 is about 12330.5847387705. The cubic root of 152043320 is about 533.7310245600.

Adding to 152043320 its reverse (23340251), we get a palindrome (175383571).

The spelling of 152043320 in words is "one hundred fifty-two million, forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1144 1235 1399 1430 1672 1976 2090 2470 2717 2798 2860 4180 4940 5434 5596 5720 6995 8360 9880 10868 11192 13585 13990 15389 18187 21736 26581 27170 27980 30778 36374 53162 54340 55960 61556 72748 76945 90935 106324 108680 123112 132905 145496 153890 181870 200057 212648 265810 292391 307780 345553 363740 400114 531620 584782 615560 691106 727480 800228 1000285 1063240 1169564 1382212 1461955 1600456 1727765 2000570 2339128 2764424 2923910 3455530 3801083 4001140 5847820 6911060 7602166 8002280 11695640 13822120 15204332 19005415 30408664 38010830 76021660 152043320