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421012032 = 26371916487
BaseRepresentation
bin11001000110000…
…010001001000000
31002100012121221020
4121012002021000
51330234341112
6105435425440
713301354220
oct3106021100
91070177836
10421012032
111a6717631
12b8bb5280
13692ba55c
143dcb4080
1526e6448c
hex19182240

421012032 has 112 divisors (see below), whose sum is σ = 1340144640. Its totient is φ = 113951232.

The previous prime is 421012027. The next prime is 421012061. The reversal of 421012032 is 230210124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4210120322 = 354502262177538048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17293 + ... + 33779.

Almost surely, 2421012032 is an apocalyptic number.

421012032 is a gapful number since it is divisible by the number (42) 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 421012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670072320).

421012032 is an abundant number, since it is smaller than the sum of its proper divisors (919132608).

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

421012032 is a wasteful number, since it uses less digits than its factorization.

421012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16528 (or 16518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 421012032 is about 20518.5777284879. The cubic root of 421012032 is about 749.4882624679.

Adding to 421012032 its reverse (230210124), we get a palindrome (651222156).

The spelling of 421012032 in words is "four hundred twenty-one million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 16487 25536 32974 49461 65948 98922 115409 131896 197844 230818 263792 313253 346227 395688 461636 527584 626506 692454 791376 923272 939759 1055168 1253012 1384908 1582752 1846544 1879518 2192771 2506024 2769816 3165504 3693088 3759036 4385542 5012048 5539632 6578313 7386176 7518072 8771084 10024096 11079264 13156626 15036144 17542168 20048192 22158528 26313252 30072288 35084336 52626504 60144576 70168672 105253008 140337344 210506016 421012032