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616900104 = 23334121699
BaseRepresentation
bin100100110001010…
…010011000001000
31120222210202212000
4210301102120020
52230411300404
6141114151000
721200364402
oct4461223010
91528722760
10616900104
112972511a7
12152722460
139aa65062
145bd05b72
153925a339
hex24c52608

616900104 has 96 divisors (see below), whose sum is σ = 1757460000. Its totient is φ = 200499840.

The previous prime is 616900061. The next prime is 616900147. The reversal of 616900104 is 401009616.

It is an interprime number because it is at equal distance from previous prime (616900061) and next prime (616900147).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 362247 + ... + 363945.

It is an arithmetic number, because the mean of its divisors is an integer number (18306875).

Almost surely, 2616900104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616900104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878730000).

616900104 is an abundant number, since it is smaller than the sum of its proper divisors (1140559896).

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

616900104 is a wasteful number, since it uses less digits than its factorization.

616900104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 616900104 is about 24837.4737845861. The cubic root of 616900104 is about 851.2784011173.

The spelling of 616900104 in words is "six hundred sixteen million, nine hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 1681 1699 2214 2952 3362 3398 4428 5043 5097 6724 6796 8856 10086 10194 13448 13592 15129 15291 20172 20388 30258 30582 40344 40776 45387 45873 60516 61164 69659 90774 91746 121032 122328 139318 181548 183492 208977 278636 363096 366984 417954 557272 626931 835908 1253862 1671816 1880793 2507724 2856019 3761586 5015448 5712038 7523172 8568057 11424076 15046344 17136114 22848152 25704171 34272228 51408342 68544456 77112513 102816684 154225026 205633368 308450052 616900104