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155464920 = 23345133691
BaseRepresentation
bin10010100010000…
…11010011011000
3101211112102210000
421101003103120
5304244334140
623232053000
73565300332
oct1121032330
9354472700
10155464920
117a835106
1244094160
13262934a0
141690c452
15d9ada30
hex94434d8

155464920 has 160 divisors (see below), whose sum is σ = 562882320. Its totient is φ = 38257920.

The previous prime is 155464879. The next prime is 155464927. The reversal of 155464920 is 29464551.

155464920 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 649 + 2 + 0 = 666.

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 (155464927) 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 39 ways as a sum of consecutive naturals, for example, 40275 + ... + 43965.

Almost surely, 2155464920 is an apocalyptic number.

155464920 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 155464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281441160).

155464920 is an abundant number, since it is smaller than the sum of its proper divisors (407417400).

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

155464920 is a wasteful number, since it uses less digits than its factorization.

155464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 155464920 is about 12468.5572541493. The cubic root of 155464920 is about 537.7050755232.

The spelling of 155464920 in words is "one hundred fifty-five million, four hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 3691 4212 4680 5265 7020 7382 8424 10530 11073 14040 14764 18455 21060 22146 29528 33219 36910 42120 44292 47983 55365 66438 73820 88584 95966 99657 110730 132876 143949 147640 166095 191932 199314 221460 239915 265752 287898 298971 332190 383864 398628 431847 442920 479830 498285 575796 597942 664380 719745 797256 863694 959660 996570 1151592 1195884 1295541 1328760 1439490 1494855 1727388 1919320 1993140 2159235 2391768 2591082 2878980 2989710 3454776 3886623 3986280 4318470 5182164 5757960 5979420 6477705 7773246 8636940 10364328 11958840 12955410 15546492 17273880 19433115 25910820 31092984 38866230 51821640 77732460 155464920