Search a number
-
+
2016989400 = 233526155109
BaseRepresentation
bin111100000111000…
…1101000011011000
312012120022200022010
41320032031003120
513112322130100
6532051025520
7100661061366
oct17016150330
95176280263
102016989400
119455a0a98
1248359b2a0
13261b4536a
14151c3c636
15bc11b750
hex7838d0d8

2016989400 has 96 divisors (see below), whose sum is σ = 6355285200. Its totient is φ = 529036800.

The previous prime is 2016989389. The next prime is 2016989413. The reversal of 2016989400 is 49896102.

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, 9046 + ... + 64154.

Almost surely, 22016989400 is an apocalyptic number.

2016989400 is a gapful number since it is divisible by the number (20) 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 2016989400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177642600).

2016989400 is an abundant number, since it is smaller than the sum of its proper divisors (4338295800).

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

2016989400 is a wasteful number, since it uses less digits than its factorization.

2016989400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55189 (or 55180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2016989400 is about 44910.9051344993. The cubic root of 2016989400 is about 1263.4785459901.

The spelling of 2016989400 in words is "two billion, sixteen million, nine hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 915 1220 1464 1525 1830 2440 3050 3660 4575 6100 7320 9150 12200 18300 36600 55109 110218 165327 220436 275545 330654 440872 551090 661308 826635 1102180 1322616 1377725 1653270 2204360 2755450 3306540 3361649 4133175 5510900 6613080 6723298 8266350 10084947 11021800 13446596 16532700 16808245 20169894 26893192 33065400 33616490 40339788 50424735 67232980 80679576 84041225 100849470 134465960 168082450 201698940 252123675 336164900 403397880 504247350 672329800 1008494700 2016989400