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155320416 = 2534311933
BaseRepresentation
bin10010100001000…
…00000001100000
3101211021002120000
421100200001200
5304230223131
623225020000
73564126126
oct1120400140
9354232500
10155320416
117a746589
1244024600
1326242794
14168b1916
15d980ce6
hex9420060

155320416 has 120 divisors (see below), whose sum is σ = 471772224. Its totient is φ = 50077440.

The previous prime is 155320409. The next prime is 155320441. The reversal of 155320416 is 614023551.

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

It is a self number, because there is not a number n which added to its sum of digits gives 155320416.

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, 79386 + ... + 81318.

Almost surely, 2155320416 is an apocalyptic number.

155320416 is a gapful number since it is divisible by the number (16) 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 155320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235886112).

155320416 is an abundant number, since it is smaller than the sum of its proper divisors (316451808).

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

155320416 is a wasteful number, since it uses less digits than its factorization.

155320416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155320416 is about 12462.7611707839. The cubic root of 155320416 is about 537.5384256647.

Adding to 155320416 its reverse (614023551), we get a palindrome (769343967).

The spelling of 155320416 in words is "one hundred fifty-five million, three hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 1933 2232 2511 2592 2976 3348 3866 4464 5022 5799 6696 7732 8928 10044 11598 13392 15464 17397 20088 23196 26784 30928 34794 40176 46392 52191 59923 61856 69588 80352 92784 104382 119846 139176 156573 179769 185568 208764 239692 278352 313146 359538 417528 479384 539307 556704 626292 719076 835056 958768 1078614 1252584 1438152 1617921 1670112 1917536 2157228 2505168 2876304 3235842 4314456 4853763 5010336 5752608 6471684 8628912 9707526 12943368 17257824 19415052 25886736 38830104 51773472 77660208 155320416