Search a number
-
+
155761920 = 283354507
BaseRepresentation
bin10010100100010…
…11110100000000
3101212002112012000
421102023310000
5304333340140
623242304000
73600645246
oct1122136400
9355075160
10155761920
117aa18266
12441b8000
1326368722
1416988796
15da1ba30
hex948bd00

155761920 has 144 divisors (see below), whose sum is σ = 552861120. Its totient is φ = 41527296.

The previous prime is 155761913. The next prime is 155761927. The reversal of 155761920 is 29167551.

155761920 is a `hidden beast` number, since 15 + 5 + 7 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (155761913) and next prime (155761927).

It is a tau number, because it is divible by the number of its divisors (144).

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 (155761927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32307 + ... + 36813.

Almost surely, 2155761920 is an apocalyptic number.

155761920 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 155761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276430560).

155761920 is an abundant number, since it is smaller than the sum of its proper divisors (397099200).

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

155761920 is an equidigital number, since it uses as much as digits as its factorization.

155761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 155761920 is about 12480.4615299275. The cubic root of 155761920 is about 538.0472680884.

The spelling of 155761920 in words is "one hundred fifty-five million, seven hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 4507 5760 6912 8640 9014 11520 13521 17280 18028 22535 27042 34560 36056 40563 45070 54084 67605 72112 81126 90140 108168 121689 135210 144224 162252 180280 202815 216336 243378 270420 288448 324504 360560 405630 432672 486756 540840 576896 608445 649008 721120 811260 865344 973512 1081680 1153792 1216890 1298016 1442240 1622520 1730688 1947024 2163360 2433780 2596032 2884480 3245040 3461376 3894048 4326720 4867560 5192064 5768960 6490080 7788096 8653440 9735120 10384128 12980160 15576192 17306880 19470240 25960320 31152384 38940480 51920640 77880960 155761920