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152420520 = 23357296257
BaseRepresentation
bin10010001010111…
…00000010101000
3101121210202122110
421011130002220
5303004424040
623042522320
73530360460
oct1105340250
9347722573
10152420520
117904587a
12430663a0
1325768875
1416358ba0
15d5ab980
hex915c0a8

152420520 has 128 divisors (see below), whose sum is σ = 540691200. Its totient is φ = 33632256.

The previous prime is 152420519. The next prime is 152420531. The reversal of 152420520 is 25024251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21232 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (4224150).

Almost surely, 2152420520 is an apocalyptic number.

152420520 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 152420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270345600).

152420520 is an abundant number, since it is smaller than the sum of its proper divisors (388270680).

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

152420520 is a wasteful number, since it uses less digits than its factorization.

152420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 152420520 is about 12345.8705646868. The cubic root of 152420520 is about 534.1720328326.

Adding to 152420520 its reverse (25024251), we get a palindrome (177444771).

The spelling of 152420520 in words is "one hundred fifty-two million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 2030 2436 3045 3480 4060 4872 6090 6257 8120 12180 12514 18771 24360 25028 31285 37542 43799 50056 62570 75084 87598 93855 125140 131397 150168 175196 181453 187710 218995 250280 262794 350392 362906 375420 437990 525588 544359 656985 725812 750840 875980 907265 1051176 1088718 1270171 1313970 1451624 1751960 1814530 2177436 2540342 2627940 2721795 3629060 3810513 4354872 5080684 5255880 5443590 6350855 7258120 7621026 10161368 10887180 12701710 15242052 19052565 21774360 25403420 30484104 38105130 50806840 76210260 152420520