Search a number
-
+
155691520 = 29561997
BaseRepresentation
bin10010100011110…
…10101000000000
3101211221221121121
421101322220000
5304324112040
623241002024
73600233065
oct1121725000
9354857547
10155691520
117a97a386
1244183314
132634267a
141696ac6c
15da05c4a
hex947aa00

155691520 has 80 divisors (see below), whose sum is σ = 379794888. Its totient is φ = 61194240.

The previous prime is 155691511. The next prime is 155691563. The reversal of 155691520 is 25196551.

It can be written as a sum of positive squares in 4 ways, for example, as 111175936 + 44515584 = 10544^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155662 + ... + 156658.

Almost surely, 2155691520 is an apocalyptic number.

155691520 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 155691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189897444).

155691520 is an abundant number, since it is smaller than the sum of its proper divisors (224103368).

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

155691520 is an frugal number, since it uses more digits than its factorization.

155691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 34.

The square root of 155691520 is about 12477.6408026518. The cubic root of 155691520 is about 537.9661951369.

The spelling of 155691520 in words is "one hundred fifty-five million, six hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 997 1220 1280 1952 1994 2440 2560 3904 3988 4880 4985 7808 7976 9760 9970 15616 15952 19520 19940 31232 31904 39040 39880 60817 63808 78080 79760 121634 127616 156160 159520 243268 255232 304085 319040 486536 510464 608170 638080 973072 1216340 1276160 1946144 2432680 2552320 3892288 4865360 7784576 9730720 15569152 19461440 31138304 38922880 77845760 155691520