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1412000520 = 233571998447
BaseRepresentation
bin101010000101001…
…0110101100001000
310122101221001120120
41110022112230020
510342433004040
6352040023240
746663543410
oct12412265410
93571831516
101412000520
11665045987
12334a61b20
131966c0a88
14d5757640
1583e657d0
hex54296b08

1412000520 has 128 divisors (see below), whose sum is σ = 4866048000. Its totient is φ = 321083136.

The previous prime is 1412000479. The next prime is 1412000533. The reversal of 1412000520 is 250002141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1412000520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162937 + ... + 171383.

It is an arithmetic number, because the mean of its divisors is an integer number (38016000).

Almost surely, 21412000520 is an apocalyptic number.

1412000520 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 1412000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433024000).

1412000520 is an abundant number, since it is smaller than the sum of its proper divisors (3454047480).

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

1412000520 is a wasteful number, since it uses less digits than its factorization.

1412000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1412000520 is about 37576.5953753131. The cubic root of 1412000520 is about 1121.8762450050.

Adding to 1412000520 its reverse (250002141), we get a palindrome (1662002661).

The spelling of 1412000520 in words is "one billion, four hundred twelve million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 796 840 995 1194 1393 1592 1990 2388 2786 2985 3980 4179 4776 5572 5970 6965 7960 8358 8447 11144 11940 13930 16716 16894 20895 23880 25341 27860 33432 33788 41790 42235 50682 55720 59129 67576 83580 84470 101364 118258 126705 167160 168940 177387 202728 236516 253410 295645 337880 354774 473032 506820 591290 709548 886935 1013640 1182580 1419096 1680953 1773870 2365160 3361906 3547740 5042859 6723812 7095480 8404765 10085718 11766671 13447624 16809530 20171436 23533342 25214295 33619060 35300013 40342872 47066684 50428590 58833355 67238120 70600026 94133368 100857180 117666710 141200052 176500065 201714360 235333420 282400104 353000130 470666840 706000260 1412000520