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155100816 = 243213292857
BaseRepresentation
bin10010011111010…
…10011010010000
3101210211221022200
421033222122100
5304201211231
623220203200
73562222653
oct1117523220
9353757280
10155100816
117a6065a2
1243b39500
1326196840
141685589a
15d93abe6
hex93ea690

155100816 has 120 divisors (see below), whose sum is σ = 483745080. Its totient is φ = 46061568.

The previous prime is 155100767. The next prime is 155100821. The reversal of 155100816 is 618001551.

155100816 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 13395600 + 141705216 = 3660^2 + 11904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155100816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52860 + ... + 55716.

It is an arithmetic number, because the mean of its divisors is an integer number (4031209).

Almost surely, 2155100816 is an apocalyptic number.

155100816 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 155100816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241872540).

155100816 is an abundant number, since it is smaller than the sum of its proper divisors (328644264).

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

155100816 is a wasteful number, since it uses less digits than its factorization.

155100816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 155100816 is about 12453.9478078238. The cubic root of 155100816 is about 537.2849730128.

The spelling of 155100816 in words is "one hundred fifty-five million, one hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 2857 3016 3393 4176 4524 5714 6032 6786 8571 9048 11428 13572 17142 18096 22856 25713 27144 34284 37141 45712 51426 54288 68568 74282 82853 102852 111423 137136 148564 165706 205704 222846 248559 297128 331412 334269 411408 445692 497118 594256 662824 668538 745677 891384 994236 1077089 1325648 1337076 1491354 1782768 1988472 2154178 2674152 2982708 3231267 3976944 4308356 5348304 5965416 6462534 8616712 9693801 11930832 12925068 17233424 19387602 25850136 38775204 51700272 77550408 155100816