Search a number
-
+
155310720 = 2735233517
BaseRepresentation
bin10010100000111…
…01101010000000
3101211020121020220
421100131222000
5304224420340
623224503040
73564055635
oct1120355200
9354217226
10155310720
117a73a274
124401aa80
132623b246
14168ac18c
15d97ced0
hex941da80

155310720 has 128 divisors (see below), whose sum is σ = 516723840. Its totient is φ = 39604224.

The previous prime is 155310709. The next prime is 155310773. The reversal of 155310720 is 27013551.

155310720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42402 + ... + 45918.

It is an arithmetic number, because the mean of its divisors is an integer number (4036905).

Almost surely, 2155310720 is an apocalyptic number.

155310720 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 155310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258361920).

155310720 is an abundant number, since it is smaller than the sum of its proper divisors (361413120).

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

155310720 is a wasteful number, since it uses less digits than its factorization.

155310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 155310720 is about 12462.3721658439. The cubic root of 155310720 is about 537.5272400112.

The spelling of 155310720 in words is "one hundred fifty-five million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3517 3680 4416 5520 7034 7360 8832 10551 11040 14068 14720 17585 21102 22080 28136 35170 42204 44160 52755 56272 70340 80891 84408 105510 112544 140680 161782 168816 211020 225088 242673 281360 323564 337632 404455 422040 450176 485346 562720 647128 675264 808910 844080 970692 1125440 1213365 1294256 1350528 1617820 1688160 1941384 2250880 2426730 2588512 3235640 3376320 3882768 4853460 5177024 6471280 6752640 7765536 9706920 10354048 12942560 15531072 19413840 25885120 31062144 38827680 51770240 77655360 155310720