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152349660 = 22345157599
BaseRepresentation
bin10010001010010…
…10101111011100
3101121200011110000
421011022233130
5303000142120
623041214300
73526644051
oct1105125734
9347604400
10152349660
1178aa7611
1243031390
1325742538
141633b028
15d595990
hex914abdc

152349660 has 120 divisors (see below), whose sum is σ = 481773600. Its totient is φ = 40300416.

The previous prime is 152349653. The next prime is 152349661. The reversal of 152349660 is 66943251.

It is a happy number.

152349660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152349661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254041 + ... + 254639.

It is an arithmetic number, because the mean of its divisors is an integer number (4014780).

Almost surely, 2152349660 is an apocalyptic number.

152349660 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 152349660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240886800).

152349660 is an abundant number, since it is smaller than the sum of its proper divisors (329423940).

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

152349660 is a wasteful number, since it uses less digits than its factorization.

152349660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 152349660 is about 12343.0004455967. Note that the first 3 decimals coincide. The cubic root of 152349660 is about 534.0892414922.

The spelling of 152349660 in words is "one hundred fifty-two million, three hundred forty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 270 314 324 405 471 540 599 628 785 810 942 1198 1413 1570 1620 1797 1884 2355 2396 2826 2995 3140 3594 4239 4710 5391 5652 5990 7065 7188 8478 8985 9420 10782 11980 12717 14130 16173 16956 17970 21195 21564 25434 26955 28260 32346 35940 42390 48519 50868 53910 63585 64692 80865 84780 94043 97038 107820 127170 161730 188086 194076 242595 254340 282129 323460 376172 470215 485190 564258 846387 940430 970380 1128516 1410645 1692774 1880860 2539161 2821290 3385548 4231935 5078322 5642580 7617483 8463870 10156644 12695805 15234966 16927740 25391610 30469932 38087415 50783220 76174830 152349660