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15072030800 = 2452297916447
BaseRepresentation
bin11100000100101110…
…01111000001010000
31102220101200111100222
432002113033001100
5221331414441200
610531325532212
71042333101521
oct160227170120
942811614328
1015072030800
11643484a902
122b07714068
131562749028
14a2da14848
155d32e1d85
hex3825cf050

15072030800 has 120 divisors (see below), whose sum is σ = 37935667200. Its totient is φ = 5746890240.

The previous prime is 15072030793. The next prime is 15072030811. The reversal of 15072030800 is 803027051.

It is a super-2 number, since 2×150720308002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15072030800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908177 + ... + 924623.

It is an arithmetic number, because the mean of its divisors is an integer number (316130560).

Almost surely, 215072030800 is an apocalyptic number.

15072030800 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 15072030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18967833600).

15072030800 is an abundant number, since it is smaller than the sum of its proper divisors (22863636400).

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

15072030800 is a wasteful number, since it uses less digits than its factorization.

15072030800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16573 (or 16562 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 15072030800 its reverse (803027051), we get a palindrome (15875057851).

The spelling of 15072030800 in words is "fifteen billion, seventy-two million, thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 79 80 100 116 145 158 200 232 290 316 395 400 464 580 632 725 790 1160 1264 1450 1580 1975 2291 2320 2900 3160 3950 4582 5800 6320 7900 9164 11455 11600 15800 16447 18328 22910 31600 32894 36656 45820 57275 65788 82235 91640 114550 131576 164470 183280 229100 263152 328940 411175 458200 476963 657880 822350 916400 953926 1299313 1315760 1644700 1907852 2384815 2598626 3289400 3815704 4769630 5197252 6496565 6578800 7631408 9539260 10394504 11924075 12993130 19078520 20789008 23848150 25986260 32482825 37680077 38157040 47696300 51972520 64965650 75360154 95392600 103945040 129931300 150720308 188400385 190785200 259862600 301440616 376800770 519725200 602881232 753601540 942001925 1507203080 1884003850 3014406160 3768007700 7536015400 15072030800