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152989830 = 23357611327
BaseRepresentation
bin10010001111001…
…11000010000110
3101122212200121000
421013213002012
5303131133310
623103034130
73535251330
oct1107470206
9348780530
10152989830
11793a4584
124329b946
1325907a36
1416466450
15d6704c0
hex91e7086

152989830 has 128 divisors (see below), whose sum is σ = 474255360. Its totient is φ = 34369920.

The previous prime is 152989801. The next prime is 152989831. The reversal of 152989830 is 38989251.

It is a happy number.

152989830 is a `hidden beast` number, since 1 + 529 + 8 + 98 + 30 = 666.

152989830 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152989831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114627 + ... + 115953.

It is an arithmetic number, because the mean of its divisors is an integer number (3705120).

Almost surely, 2152989830 is an apocalyptic number.

152989830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152989830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237127680).

152989830 is an abundant number, since it is smaller than the sum of its proper divisors (321265530).

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

152989830 is a wasteful number, since it uses less digits than its factorization.

152989830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 152989830 is about 12368.9057721368. The cubic root of 152989830 is about 534.8362733049.

The spelling of 152989830 in words is "one hundred fifty-two million, nine hundred eighty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 270 305 315 366 378 427 549 610 630 854 915 945 1098 1281 1327 1647 1830 1890 2135 2562 2654 2745 3294 3843 3981 4270 5490 6405 6635 7686 7962 8235 9289 11529 11943 12810 13270 16470 18578 19215 19905 23058 23886 27867 35829 38430 39810 46445 55734 57645 59715 71658 80947 83601 92890 115290 119430 139335 161894 167202 179145 242841 250803 278670 358290 404735 418005 485682 501606 566629 728523 809470 836010 1133258 1214205 1254015 1457046 1699887 2185569 2428410 2508030 2833145 3399774 3642615 4371138 5099661 5666290 7285230 8499435 10199322 10927845 15298983 16998870 21855690 25498305 30597966 50996610 76494915 152989830