Search a number
-
+
155052480 = 26351114683
BaseRepresentation
bin10010011110111…
…10100111000000
3101210202111000110
421033132213000
5304143134410
623215151320
73561632022
oct1117364700
9353674013
10155052480
117a583250
1243b15540
132617a83b
1416842012
15d92b720
hex93de9c0

155052480 has 112 divisors (see below), whose sum is σ = 537081984. Its totient is φ = 37585920.

The previous prime is 155052467. The next prime is 155052481. The reversal of 155052480 is 84250551.

155052480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155052481) 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, 3219 + ... + 17901.

Almost surely, 2155052480 is an apocalyptic number.

155052480 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 155052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268540992).

155052480 is an abundant number, since it is smaller than the sum of its proper divisors (382029504).

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

155052480 is a wasteful number, since it uses less digits than its factorization.

155052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14714 (or 14704 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 155052480 is about 12452.0070671358. The cubic root of 155052480 is about 537.2291536101.

The spelling of 155052480 in words is "one hundred fifty-five million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 14683 29366 44049 58732 73415 88098 117464 146830 161513 176196 220245 234928 293660 323026 352392 440490 469856 484539 587320 646052 704784 807565 880980 939712 969078 1174640 1292104 1409568 1615130 1761960 1938156 2349280 2422695 2584208 2819136 3230260 3523920 3876312 4698560 4845390 5168416 6460520 7047840 7752624 9690780 10336832 12921040 14095680 15505248 19381560 25842080 31010496 38763120 51684160 77526240 155052480