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421976040 = 233517613391
BaseRepresentation
bin11001001001101…
…101011111101000
31002102000121022020
4121021231133220
51331011213130
6105512224440
713312510563
oct3111553750
91072017266
10421976040
111a7215932
12b939b120
1369567285
14400854da
15270a4e10
hex1926d7e8

421976040 has 128 divisors (see below), whose sum is σ = 1362769920. Its totient is φ = 104140800.

The previous prime is 421976033. The next prime is 421976047. The reversal of 421976040 is 40679124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (421976033) and next prime (421976047).

It is a junction number, because it is equal to n+sod(n) for n = 421975992 and 421976010.

It is not an unprimeable number, because it can be changed into a prime (421976047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122745 + ... + 126135.

It is an arithmetic number, because the mean of its divisors is an integer number (10646640).

Almost surely, 2421976040 is an apocalyptic number.

421976040 is a gapful number since it is divisible by the number (40) 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 421976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681384960).

421976040 is an abundant number, since it is smaller than the sum of its proper divisors (940793880).

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

421976040 is a wasteful number, since it uses less digits than its factorization.

421976040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 421976040 is about 20542.0553986207. The cubic root of 421976040 is about 750.0598707761.

The spelling of 421976040 in words is "four hundred twenty-one million, nine hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 610 680 732 915 1020 1037 1220 1464 1830 2040 2074 2440 3111 3391 3660 4148 5185 6222 6782 7320 8296 10173 10370 12444 13564 15555 16955 20346 20740 24888 27128 31110 33910 40692 41480 50865 57647 62220 67820 81384 101730 115294 124440 135640 172941 203460 206851 230588 288235 345882 406920 413702 461176 576470 620553 691764 827404 864705 1034255 1152940 1241106 1383528 1654808 1729410 2068510 2305880 2482212 3102765 3458820 3516467 4137020 4964424 6205530 6917640 7032934 8274040 10549401 12411060 14065868 17582335 21098802 24822120 28131736 35164670 42197604 52747005 70329340 84395208 105494010 140658680 210988020 421976040