Search a number
-
+
1698890016 = 253196115269
BaseRepresentation
bin110010101000011…
…0000000100100000
311101101202112222110
41211100300010200
511434403440031
6440325035320
760046220055
oct14520600440
94341675873
101698890016
117a1a8523a
123b4b55b40
13210c7b285
141218b702c
159e234c46
hex65430120

1698890016 has 96 divisors (see below), whose sum is σ = 4771569600. Its totient is φ = 527662080.

The previous prime is 1698889999. The next prime is 1698890033. The reversal of 1698890016 is 6100988961.

It is an interprime number because it is at equal distance from previous prime (1698889999) and next prime (1698890033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103630 + ... + 118898.

It is an arithmetic number, because the mean of its divisors is an integer number (49703850).

Almost surely, 21698890016 is an apocalyptic number.

1698890016 is a gapful number since it is divisible by the number (16) 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 1698890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385784800).

1698890016 is an abundant number, since it is smaller than the sum of its proper divisors (3072679584).

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

1698890016 is a wasteful number, since it uses less digits than its factorization.

1698890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15362 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 1698890016 is about 41217.5935250956. The cubic root of 1698890016 is about 1193.2233810106.

The spelling of 1698890016 in words is "one billion, six hundred ninety-eight million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 183 228 244 304 366 456 488 608 732 912 976 1159 1464 1824 1952 2318 2928 3477 4636 5856 6954 9272 13908 15269 18544 27816 30538 37088 45807 55632 61076 91614 111264 122152 183228 244304 290111 366456 488608 580222 732912 870333 931409 1160444 1465824 1740666 1862818 2320888 2794227 3481332 3725636 4641776 5588454 6962664 7451272 9283552 11176908 13925328 14902544 17696771 22353816 27850656 29805088 35393542 44707632 53090313 70787084 89415264 106180626 141574168 212361252 283148336 424722504 566296672 849445008 1698890016