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40701400 = 23521711971
BaseRepresentation
bin1001101101000…
…0110111011000
32211120211211021
42123100313120
540404421100
64012212224
71002645655
oct233206730
984524737
1040701400
1120a7a623
121176a074
138580b8c
145596c2c
15388ea1a
hex26d0dd8

40701400 has 48 divisors (see below), whose sum is σ = 100205640. Its totient is φ = 15321600.

The previous prime is 40701379. The next prime is 40701433. The reversal of 40701400 is 410704.

It is a happy number.

40701400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2586 + ... + 9385.

Almost surely, 240701400 is an apocalyptic number.

40701400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40701400 is an abundant number, since it is smaller than the sum of its proper divisors (59504240).

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

40701400 is a wasteful number, since it uses less digits than its factorization.

40701400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 40701400 is about 6379.7648859500. The cubic root of 40701400 is about 343.9825797921.

The spelling of 40701400 in words is "forty million, seven hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 11971 23942 47884 59855 95768 119710 203507 239420 299275 407014 478840 598550 814028 1017535 1197100 1628056 2035070 2394200 4070140 5087675 8140280 10175350 20350700 40701400