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155144160 = 2534511971
BaseRepresentation
bin10010011111101…
…00111111100000
3101210221010210000
421033310333200
5304204103120
623221140000
73562463223
oct1117647740
9353833700
10155144160
117a636116
1243b5a600
13261b04a2
14168675ba
15d948990
hex93f4fe0

155144160 has 120 divisors (see below), whose sum is σ = 547575336. Its totient is φ = 41368320.

The previous prime is 155144149. The next prime is 155144183. The reversal of 155144160 is 61441551.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6975 + ... + 18945.

Almost surely, 2155144160 is an apocalyptic number.

155144160 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 155144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273787668).

155144160 is an abundant number, since it is smaller than the sum of its proper divisors (392431176).

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

155144160 is a wasteful number, since it uses less digits than its factorization.

155144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 155144160 is about 12455.6878573606. The cubic root of 155144160 is about 537.3350176901.

The spelling of 155144160 in words is "one hundred fifty-five million, one hundred forty-four thousand, one hundred sixty".

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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 11971 12960 23942 35913 47884 59855 71826 95768 107739 119710 143652 179565 191536 215478 239420 287304 323217 359130 383072 430956 478840 538695 574608 646434 718260 861912 957680 969651 1077390 1149216 1292868 1436520 1616085 1723824 1915360 1939302 2154780 2585736 2873040 3232170 3447648 3878604 4309560 4848255 5171472 5746080 6464340 7757208 8619120 9696510 10342944 12928680 15514416 17238240 19393020 25857360 31028832 38786040 51714720 77572080 155144160