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155252040 = 233519149457
BaseRepresentation
bin10010100000011…
…11010101001000
3101211010121202120
421100033111020
5304221031130
623223331240
73563422566
oct1120172510
9354117676
10155252040
117a6aa179
1243bb0b20
132621a618
1416894a36
15d96a910
hex940f548

155252040 has 128 divisors (see below), whose sum is σ = 494640000. Its totient is φ = 38873088.

The previous prime is 155252033. The next prime is 155252057. The reversal of 155252040 is 40252551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 155252040.

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, 339492 + ... + 339948.

It is an arithmetic number, because the mean of its divisors is an integer number (3864375).

Almost surely, 2155252040 is an apocalyptic number.

155252040 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 155252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247320000).

155252040 is an abundant number, since it is smaller than the sum of its proper divisors (339387960).

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

155252040 is a wasteful number, since it uses less digits than its factorization.

155252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 155252040 is about 12460.0176564883. The cubic root of 155252040 is about 537.4595347218.

The spelling of 155252040 in words is "one hundred fifty-five million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 149 152 190 228 285 298 380 447 456 457 570 596 745 760 894 914 1140 1192 1371 1490 1788 1828 2235 2280 2285 2742 2831 2980 3576 3656 4470 4570 5484 5662 5960 6855 8493 8683 8940 9140 10968 11324 13710 14155 16986 17366 17880 18280 22648 26049 27420 28310 33972 34732 42465 43415 52098 54840 56620 67944 68093 69464 84930 86830 104196 113240 130245 136186 169860 173660 204279 208392 260490 272372 339720 340465 347320 408558 520980 544744 680930 817116 1021395 1041960 1293767 1361860 1634232 2042790 2587534 2723720 3881301 4085580 5175068 6468835 7762602 8171160 10350136 12937670 15525204 19406505 25875340 31050408 38813010 51750680 77626020 155252040