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1400424720 = 24355835103
BaseRepresentation
bin101001101111000…
…1100100100010000
310121121010221120020
41103132030210100
510332002042340
6350543543440
746463261622
oct12336144420
93547127506
101400424720
11659559902
12330bbab80
13194199ba6
14d3dc2c12
1582e2a9d0
hex5378c910

1400424720 has 40 divisors (see below), whose sum is σ = 4341317376. Its totient is φ = 373446528.

The previous prime is 1400424709. The next prime is 1400424743. The reversal of 1400424720 is 274240041.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×14004247203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2917312 + ... + 2917791.

Almost surely, 21400424720 is an apocalyptic number.

1400424720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400424720 is an abundant number, since it is smaller than the sum of its proper divisors (2940892656).

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

1400424720 is a wasteful number, since it uses less digits than its factorization.

1400424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835119 (or 5835113 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 1400424720 is about 37422.2489970873. The cubic root of 1400424720 is about 1118.8020567311.

Adding to 1400424720 its reverse (274240041), we get a palindrome (1674664761).

The spelling of 1400424720 in words is "one billion, four hundred million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5835103 11670206 17505309 23340412 29175515 35010618 46680824 58351030 70021236 87526545 93361648 116702060 140042472 175053090 233404120 280084944 350106180 466808240 700212360 1400424720