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153351420 = 223529312843
BaseRepresentation
bin10010010001111…
…11010011111100
3101200120001121020
421020333103330
5303224221140
623114504140
73541315455
oct1110772374
9350501536
10153351420
1179621212
1243435050
1325a034b1
141651c12c
15d6e26d0
hex923f4fc

153351420 has 96 divisors (see below), whose sum is σ = 458680320. Its totient is φ = 38196480.

The previous prime is 153351397. The next prime is 153351467. The reversal of 153351420 is 24153351.

It is a congruent number.

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, 52519 + ... + 55361.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2153351420 is an apocalyptic number.

153351420 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 153351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340160).

153351420 is an abundant number, since it is smaller than the sum of its proper divisors (305328900).

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

153351420 is a wasteful number, since it uses less digits than its factorization.

153351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 153351420 is about 12383.5140408529. The cubic root of 153351420 is about 535.2573019188.

The spelling of 153351420 in words is "one hundred fifty-three million, three hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 2843 3596 4495 5394 5686 8529 8990 10788 11372 13485 14215 17058 17980 26970 28430 34116 42645 53940 56860 82447 85290 88133 164894 170580 176266 247341 264399 329788 352532 412235 440665 494682 528798 824470 881330 989364 1057596 1236705 1321995 1648940 1762660 2473410 2555857 2643990 4946820 5111714 5287980 7667571 10223428 12779285 15335142 25558570 30670284 38337855 51117140 76675710 153351420