Search a number
-
+
155375040 = 2635295581
BaseRepresentation
bin10010100001011…
…01010111000000
3101211100212111010
421100231113000
5304234000130
623230120520
73564444312
oct1120552700
9354325433
10155375040
117a783627
1244050140
13262615c2
14168c77b2
15d9920b0
hex942d5c0

155375040 has 112 divisors (see below), whose sum is σ = 510418080. Its totient is φ = 39997440.

The previous prime is 155375029. The next prime is 155375047. The reversal of 155375040 is 40573551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155374989 and 155375007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155375047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25050 + ... + 30630.

Almost surely, 2155375040 is an apocalyptic number.

155375040 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 155375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255209040).

155375040 is an abundant number, since it is smaller than the sum of its proper divisors (355043040).

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

155375040 is a wasteful number, since it uses less digits than its factorization.

155375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 155375040 is about 12464.9524668167. The cubic root of 155375040 is about 537.6014331736.

The spelling of 155375040 in words is "one hundred fifty-five million, three hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 5581 6960 9280 11162 13920 16743 22324 27840 27905 33486 44648 55810 66972 83715 89296 111620 133944 161849 167430 178592 223240 267888 323698 334860 357184 446480 485547 535776 647396 669720 809245 892960 971094 1071552 1294792 1339440 1618490 1785920 1942188 2427735 2589584 2678880 3236980 3884376 4855470 5179168 5357760 6473960 7768752 9710940 10358336 12947920 15537504 19421880 25895840 31075008 38843760 51791680 77687520 155375040