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152530980 = 22357477727
BaseRepresentation
bin10010001011101…
…11000000100100
3101122000101011120
421011313000210
5303021442410
623045133540
73531330510
oct1105670044
9348011146
10152530980
1179110868
12430ba2b0
13257a6c24
1416387140
15d5ce570
hex9177024

152530980 has 96 divisors (see below), whose sum is σ = 498548736. Its totient is φ = 34118016.

The previous prime is 152530969. The next prime is 152530991. The reversal of 152530980 is 89035251.

It is an interprime number because it is at equal distance from previous prime (152530969) and next prime (152530991).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15877 + ... + 23603.

It is an arithmetic number, because the mean of its divisors is an integer number (5193216).

Almost surely, 2152530980 is an apocalyptic number.

152530980 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 152530980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249274368).

152530980 is an abundant number, since it is smaller than the sum of its proper divisors (346017756).

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

152530980 is a wasteful number, since it uses less digits than its factorization.

152530980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 152530980 is about 12350.3433150662. The cubic root of 152530980 is about 534.3010408227.

The spelling of 152530980 in words is "one hundred fifty-two million, five hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 7727 9870 15454 19740 23181 30908 38635 46362 54089 77270 92724 108178 115905 154540 162267 216356 231810 270445 324534 363169 463620 540890 649068 726338 811335 1081780 1089507 1452676 1622670 1815845 2179014 2542183 3245340 3631690 4358028 5084366 5447535 7263380 7626549 10168732 10895070 12710915 15253098 21790140 25421830 30506196 38132745 50843660 76265490 152530980