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420642376 = 237111016761
BaseRepresentation
bin11001000100100…
…111111001001000
31002022111211212021
4121010213321020
51330141024001
6105423454224
713265254420
oct3104477110
91068454767
10420642376
111a6494930
12b8a57374
13691bb21b
143dc19480
1526ddeba1
hex19127e48

420642376 has 64 divisors (see below), whose sum is σ = 993202560. Its totient is φ = 162240000.

The previous prime is 420642367. The next prime is 420642401. The reversal of 420642376 is 673246024.

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 15 ways as a sum of consecutive naturals, for example, 58836 + ... + 65596.

It is an arithmetic number, because the mean of its divisors is an integer number (15518790).

Almost surely, 2420642376 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 420642376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496601280).

420642376 is an abundant number, since it is smaller than the sum of its proper divisors (572560184).

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

420642376 is a wasteful number, since it uses less digits than its factorization.

420642376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 420642376 is about 20509.5679135373. The cubic root of 420642376 is about 749.2688435935.

The spelling of 420642376 in words is "four hundred twenty million, six hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1414 2222 2828 4444 5656 6761 7777 8888 13522 15554 27044 31108 47327 54088 62216 74371 94654 148742 189308 297484 378616 520597 594968 682861 1041194 1365722 2082388 2731444 4164776 4780027 5462888 7511471 9560054 15022942 19120108 30045884 38240216 52580297 60091768 105160594 210321188 420642376