[go: up one dir, main page]

Search a number
-
+
153163920 = 24357137013
BaseRepresentation
bin10010010000100…
…01100010010000
3101200012112101210
421020101202100
5303202221140
623110500120
73536605020
oct1110214220
9350175353
10153163920
1179503358
1243364640
1325969050
14164ada80
15d6a6d80
hex9211890

153163920 has 160 divisors (see below), whose sum is σ = 584462592. Its totient is φ = 32311296.

The previous prime is 153163903. The next prime is 153163951. The reversal of 153163920 is 29361351.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18334 + ... + 25346.

Almost surely, 2153163920 is an apocalyptic number.

153163920 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 153163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292231296).

153163920 is an abundant number, since it is smaller than the sum of its proper divisors (431298672).

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

153163920 is a wasteful number, since it uses less digits than its factorization.

153163920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 153163920 is about 12375.9411763308. The cubic root of 153163920 is about 535.0390631506.

The spelling of 153163920 in words is "one hundred fifty-three million, one hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7013 7280 10920 14026 21039 21840 28052 35065 42078 49091 56104 70130 84156 91169 98182 105195 112208 140260 147273 168312 182338 196364 210390 245455 273507 280520 294546 336624 364676 392728 420780 455845 490910 547014 561040 589092 638183 729352 736365 785456 841560 911690 981820 1094028 1178184 1276366 1367535 1458704 1472730 1683120 1823380 1914549 1963640 2188056 2356368 2552732 2735070 2945460 3190915 3646760 3829098 3927280 4376112 5105464 5470140 5890920 6381830 7293520 7658196 9572745 10210928 10940280 11781840 12763660 15316392 19145490 21880560 25527320 30632784 38290980 51054640 76581960 153163920