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830145536 = 2101173699
BaseRepresentation
bin110001011110110…
…000010000000000
32010212001202120222
4301132300100000
53200004124121
6214212522212
726400056243
oct6136602000
92125052528
10830145536
113966606a0
121b2020368
13102ca919c
147c37525a
154cd2e0ab
hex317b0400

830145536 has 44 divisors (see below), whose sum is σ = 1810366800. Its totient is φ = 377333760.

The previous prime is 830145469. The next prime is 830145541. The reversal of 830145536 is 635541038.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×8301455362 = 1378283221881454592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 830145496 and 830145505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25586 + ... + 48113.

It is an arithmetic number, because the mean of its divisors is an integer number (41144700).

Almost surely, 2830145536 is an apocalyptic number.

It is an amenable number.

830145536 is an abundant number, since it is smaller than the sum of its proper divisors (980221264).

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

830145536 is a wasteful number, since it uses less digits than its factorization.

830145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73730 (or 73712 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 830145536 is about 28812.2462852170. The cubic root of 830145536 is about 939.8345627066.

The spelling of 830145536 in words is "eight hundred thirty million, one hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 73699 147398 294796 589592 810689 1179184 1621378 2358368 3242756 4716736 6485512 9433472 12971024 18866944 25942048 37733888 51884096 75467776 103768192 207536384 415072768 830145536