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940198420 = 2257103113577
BaseRepresentation
bin111000000010100…
…100101000010100
32102112011000202201
4320002210220110
53411142322140
6233143414244
732204361160
oct7002445024
92375130681
10940198420
11442798a97
12222a54384
1311ca2c635
148cc21ca0
155781c49a
hex380a4a14

940198420 has 96 divisors (see below), whose sum is σ = 2302530048. Its totient is φ = 315850752.

The previous prime is 940198381. The next prime is 940198421. The reversal of 940198420 is 24891049.

It is a happy number.

It is a super-3 number, since 3×9401984203 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 940198420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (940198421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629172 + ... + 1629748.

It is an arithmetic number, because the mean of its divisors is an integer number (23984688).

Almost surely, 2940198420 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 940198420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151265024).

940198420 is an abundant number, since it is smaller than the sum of its proper divisors (1362331628).

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

940198420 is a wasteful number, since it uses less digits than its factorization.

940198420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 940198420 is about 30662.6551361750. The cubic root of 940198420 is about 979.6550292124.

The spelling of 940198420 in words is "nine hundred forty million, one hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 113 140 206 226 412 452 515 565 577 721 791 1030 1130 1154 1442 1582 2060 2260 2308 2884 2885 3164 3605 3955 4039 5770 7210 7910 8078 11540 11639 14420 15820 16156 20195 23278 40390 46556 58195 59431 65201 80780 81473 116390 118862 130402 162946 232780 237724 260804 297155 325892 326005 407365 416017 456407 594310 652010 814730 832034 912814 1188620 1304020 1629460 1664068 1825628 2080085 2282035 4160170 4564070 6715703 8320340 9128140 13431406 26862812 33578515 47009921 67157030 94019842 134314060 188039684 235049605 470099210 940198420