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152301300 = 223521729863
BaseRepresentation
bin10010001001111…
…10111011110100
3101121120201002220
421010332323310
5302442120200
623040202340
73526353054
oct1104767364
9347521086
10152301300
1178a74248
12430093b0
1325726518
1416327564
15d5864a0
hex913eef4

152301300 has 72 divisors (see below), whose sum is σ = 466595136. Its totient is φ = 38223360.

The previous prime is 152301293. The next prime is 152301307. The reversal of 152301300 is 3103251.

It is a happy number.

152301300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152301293) and next prime (152301307).

It is a Harshad number since it is a multiple of its sum of digits (15).

152301300 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 152301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152301307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9832 + ... + 20031.

It is an arithmetic number, because the mean of its divisors is an integer number (6480488).

Almost surely, 2152301300 is an apocalyptic number.

152301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152301300 is an abundant number, since it is smaller than the sum of its proper divisors (314293836).

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

152301300 is a wasteful number, since it uses less digits than its factorization.

152301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29897 (or 29890 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 152301300 is about 12341.0412850780. The cubic root of 152301300 is about 534.0327239411.

Adding to 152301300 its reverse (3103251), we get a palindrome (155404551).

The spelling of 152301300 in words is "one hundred fifty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 29863 59726 89589 119452 149315 179178 298630 358356 447945 507671 597260 746575 895890 1015342 1493150 1523013 1791780 2030684 2239725 2538355 2986300 3046026 4479450 5076710 6092052 7615065 8958900 10153420 12691775 15230130 25383550 30460260 38075325 50767100 76150650 152301300