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1421916400 = 245229122579
BaseRepresentation
bin101010011000000…
…1011100011110000
310200002120211121101
41110300023203300
510403002311100
6353032334144
750144042602
oct12460134360
93602524541
101421916400
1166a6a8923
12338244354
13198783268
14d6bb9172
1584c7386a
hex54c0b8f0

1421916400 has 60 divisors (see below), whose sum is σ = 3533981400. Its totient is φ = 549149440.

The previous prime is 1421916359. The next prime is 1421916407. The reversal of 1421916400 is 46191241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421916407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49690 + ... + 72889.

It is an arithmetic number, because the mean of its divisors is an integer number (58899690).

Almost surely, 21421916400 is an apocalyptic number.

1421916400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1421916400 is an abundant number, since it is smaller than the sum of its proper divisors (2112065000).

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

1421916400 is a wasteful number, since it uses less digits than its factorization.

1421916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122626 (or 122615 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1421916400 is about 37708.3067771546. The cubic root of 1421916400 is about 1124.4962748994.

The spelling of 1421916400 in words is "one billion, four hundred twenty-one million, nine hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 122579 245158 490316 612895 980632 1225790 1961264 2451580 3064475 3554791 4903160 6128950 7109582 9806320 12257900 14219164 17773955 24515800 28438328 35547910 49031600 56876656 71095820 88869775 142191640 177739550 284383280 355479100 710958200 1421916400