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1402001400 = 233524914759
BaseRepresentation
bin101001110010000…
…1101011111111000
310121201010001100210
41103210031133320
510332403021100
6351041431120
746512546432
oct12344153770
93551101323
101402001400
1165a436448
1233163b4a0
131945cc737
14d42b3652
158313cc50
hex5390d7f8

1402001400 has 96 divisors (see below), whose sum is σ = 4355971200. Its totient is φ = 373027200.

The previous prime is 1402001333. The next prime is 1402001417. The reversal of 1402001400 is 41002041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292221 + ... + 296979.

It is an arithmetic number, because the mean of its divisors is an integer number (45374700).

Almost surely, 21402001400 is an apocalyptic number.

1402001400 is a gapful number since it is divisible by the number (10) 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 1402001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177985600).

1402001400 is an abundant number, since it is smaller than the sum of its proper divisors (2953969800).

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

1402001400 is a wasteful number, since it uses less digits than its factorization.

1402001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1402001400 is about 37443.3091486316. The cubic root of 1402001400 is about 1119.2217701731.

Adding to 1402001400 its reverse (41002041), we get a palindrome (1443003441).

The spelling of 1402001400 in words is "one billion, four hundred two million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 491 600 982 1473 1964 2455 2946 3928 4759 4910 5892 7365 9518 9820 11784 12275 14277 14730 19036 19640 23795 24550 28554 29460 36825 38072 47590 49100 57108 58920 71385 73650 95180 98200 114216 118975 142770 147300 190360 237950 285540 294600 356925 475900 571080 713850 951800 1427700 2336669 2855400 4673338 7010007 9346676 11683345 14020014 18693352 23366690 28040028 35050035 46733380 56080056 58416725 70100070 93466760 116833450 140200140 175250175 233666900 280400280 350500350 467333800 701000700 1402001400