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1690304512 = 2221331
BaseRepresentation
bin110010011000000…
…0000000000000000
311100210121100212211
41210300000000000
511430204221022
6435421031504
756613231331
oct14460000000
94323540784
101690304512
11798150886
123b20b5594
1320c2634b0
141206c0288
159d5dae77
hex64c00000

1690304512 has 92 divisors (see below), whose sum is σ = 3758095936. Its totient is φ = 754974720.

The previous prime is 1690304507. The next prime is 1690304521. The reversal of 1690304512 is 2154030961.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54525937 + ... + 54525967.

Almost surely, 21690304512 is an apocalyptic number.

1690304512 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879047968).

1690304512 is an abundant number, since it is smaller than the sum of its proper divisors (2067791424).

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

1690304512 is an frugal number, since it uses more digits than its factorization.

1690304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1690304512 is about 41113.3130749639. The cubic root of 1690304512 is about 1191.2099625063.

The spelling of 1690304512 in words is "one billion, six hundred ninety million, three hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3224 3328 3968 4096 6448 6656 7936 8192 12896 13312 15872 16384 25792 26624 31744 32768 51584 53248 63488 65536 103168 106496 126976 131072 206336 212992 253952 262144 412672 425984 507904 524288 825344 851968 1015808 1048576 1650688 1703936 2031616 2097152 3301376 3407872 4063232 4194304 6602752 6815744 8126464 13205504 13631488 16252928 26411008 27262976 32505856 52822016 54525952 65011712 105644032 130023424 211288064 422576128 845152256 1690304512