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155235420 = 223351032791
BaseRepresentation
bin10010100000010…
…11010001011100
3101211002202222000
421100023101130
5304220013140
623223122300
73563323254
oct1120132134
9354082860
10155235420
117a69873a
1243ba3390
1326212ba2
141688c964
15d965a30
hex940b45c

155235420 has 96 divisors (see below), whose sum is σ = 487818240. Its totient is φ = 40979520.

The previous prime is 155235413. The next prime is 155235433. The reversal of 155235420 is 24532551.

It is a happy number.

155235420 is a `hidden beast` number, since 1 + 5 + 5 + 235 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 54225 + ... + 57015.

It is an arithmetic number, because the mean of its divisors is an integer number (5081440).

Almost surely, 2155235420 is an apocalyptic number.

155235420 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 155235420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243909120).

155235420 is an abundant number, since it is smaller than the sum of its proper divisors (332582820).

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

155235420 is a wasteful number, since it uses less digits than its factorization.

155235420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 155235420 is about 12459.3507053939. The cubic root of 155235420 is about 537.4403553792.

Adding to 155235420 its reverse (24532551), we get a palindrome (179767971).

The spelling of 155235420 in words is "one hundred fifty-five million, two hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 2791 3090 3708 4635 5562 5582 6180 8373 9270 11124 11164 13905 13955 16746 18540 25119 27810 27910 33492 41865 50238 55620 55820 75357 83730 100476 125595 150714 167460 251190 287473 301428 376785 502380 574946 753570 862419 1149892 1437365 1507140 1724838 2587257 2874730 3449676 4312095 5174514 5749460 7761771 8624190 10349028 12936285 15523542 17248380 25872570 31047084 38808855 51745140 77617710 155235420