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155148084 = 223271323643
BaseRepresentation
bin10010011111101…
…01111100110100
3101210221100011100
421033311330310
5304204214314
623221210100
73562510530
oct1117657464
9353840140
10155148084
117a639063
1243b60930
13261b2200
1416868bc0
15d949c09
hex93f5f34

155148084 has 108 divisors (see below), whose sum is σ = 485468256. Its totient is φ = 40906944.

The previous prime is 155148083. The next prime is 155148101. The reversal of 155148084 is 480841551.

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 (155148083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40767 + ... + 44409.

Almost surely, 2155148084 is an apocalyptic number.

155148084 is a gapful number since it is divisible by the number (14) 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 155148084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242734128).

155148084 is an abundant number, since it is smaller than the sum of its proper divisors (330320172).

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

155148084 is a wasteful number, since it uses less digits than its factorization.

155148084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 155148084 is about 12455.8453747628. The cubic root of 155148084 is about 537.3395478527.

The spelling of 155148084 in words is "one hundred fifty-five million, one hundred forty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 3643 4732 6084 7098 7286 10647 10929 14196 14572 21294 21858 25501 32787 42588 43716 47359 51002 65574 76503 94718 102004 131148 142077 153006 189436 229509 284154 306012 331513 426231 459018 568308 615667 663026 852462 918036 994539 1231334 1326052 1704924 1847001 1989078 2462668 2983617 3694002 3978156 4309669 5541003 5967234 7388004 8619338 11082006 11934468 12929007 17238676 22164012 25858014 38787021 51716028 77574042 155148084