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1606054428 = 2232114798467
BaseRepresentation
bin101111110111010…
…0111001000011100
311010221002000111100
41133232213020130
511242122220203
6423211153100
754541144266
oct13756471034
94127060440
101606054428
11754637510
12389a45790
131c7975784
1411342cb36
1595ee7ea3
hex5fba721c

1606054428 has 72 divisors (see below), whose sum is σ = 4438586880. Its totient is φ = 485609760.

The previous prime is 1606054361. The next prime is 1606054433. The reversal of 1606054428 is 8244506061.

1606054428 is a `hidden beast` number, since 1 + 6 + 0 + 605 + 4 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1606054392 and 1606054401.

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, 185451 + ... + 193917.

It is an arithmetic number, because the mean of its divisors is an integer number (61647040).

Almost surely, 21606054428 is an apocalyptic number.

1606054428 is a gapful number since it is divisible by the number (18) 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 1606054428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219293440).

1606054428 is an abundant number, since it is smaller than the sum of its proper divisors (2832532452).

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

1606054428 is a wasteful number, since it uses less digits than its factorization.

1606054428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1606054428 is about 40075.6088911947. The cubic root of 1606054428 is about 1171.0805096087.

The spelling of 1606054428 in words is "one billion, six hundred six million, fifty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 479 958 1437 1916 2874 4311 5269 5748 8467 8622 10538 15807 16934 17244 21076 25401 31614 33868 47421 50802 63228 76203 93137 94842 101604 152406 186274 189684 279411 304812 372548 558822 838233 1117644 1676466 3352932 4055693 8111386 12167079 16222772 24334158 36501237 44612623 48668316 73002474 89225246 133837869 146004948 178450492 267675738 401513607 535351476 803027214 1606054428