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153352980 = 223351122347
BaseRepresentation
bin10010010001111…
…11101100010100
3101200120010202000
421020333230110
5303224243410
623114515300
73541323144
oct1110775424
9350503660
10153352980
1179622400
1243435b30
1325a04111
141651c924
15d6e2dc0
hex923fb14

153352980 has 144 divisors (see below), whose sum is σ = 524637120. Its totient is φ = 37160640.

The previous prime is 153352973. The next prime is 153352981. The reversal of 153352980 is 89253351.

153352980 is a `hidden beast` number, since 1 + 53 + 3 + 529 + 80 = 666.

153352980 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 (153352981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64167 + ... + 66513.

Almost surely, 2153352980 is an apocalyptic number.

153352980 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 153352980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262318560).

153352980 is an abundant number, since it is smaller than the sum of its proper divisors (371284140).

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

153352980 is a wasteful number, since it uses less digits than its factorization.

153352980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 153352980 is about 12383.5770276605. The cubic root of 153352980 is about 535.2591169189.

The spelling of 153352980 in words is "one hundred fifty-three million, three hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2347 2420 2970 3267 3630 4356 4694 5445 5940 6534 7041 7260 9388 10890 11735 13068 14082 16335 21123 21780 23470 25817 28164 32670 35205 42246 46940 51634 63369 65340 70410 77451 84492 103268 105615 126738 129085 140820 154902 211230 232353 253476 258170 283987 309804 316845 387255 422460 464706 516340 567974 633690 697059 774510 851961 929412 1135948 1161765 1267380 1394118 1419935 1549020 1703922 2323530 2555883 2788236 2839870 3407844 3485295 4259805 4647060 5111766 5679740 6970590 7667649 8519610 10223532 12779415 13941180 15335298 17039220 25558830 30670596 38338245 51117660 76676490 153352980