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427021900 = 225231139991
BaseRepresentation
bin11001011100111…
…101011001001100
31002202111221220221
4121130331121030
51333304200100
6110212321124
713403424544
oct3134753114
91082457827
10427021900
111aa051968
12bb0131a4
136a612ba6
14409da324
152775001a
hex1973d64c

427021900 has 72 divisors (see below), whose sum is σ = 964382720. Its totient is φ = 163944000.

The previous prime is 427021883. The next prime is 427021943. The reversal of 427021900 is 9120724.

It is a super-2 number, since 2×4270219002 = 364695406159220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430405 + ... + 431395.

Almost surely, 2427021900 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 427021900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482191360).

427021900 is an abundant number, since it is smaller than the sum of its proper divisors (537360820).

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

427021900 is a wasteful number, since it uses less digits than its factorization.

427021900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 427021900 is about 20664.5082206183. The cubic root of 427021900 is about 753.0376947516.

The spelling of 427021900 in words is "four hundred twenty-seven million, twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 139 155 278 310 556 620 695 775 991 1390 1550 1982 2780 3100 3475 3964 4309 4955 6950 8618 9910 13900 17236 19820 21545 24775 30721 43090 49550 61442 86180 99100 107725 122884 137749 153605 215450 275498 307210 430900 550996 614420 688745 768025 1377490 1536050 2754980 3072100 3443725 4270219 6887450 8540438 13774900 17080876 21351095 42702190 85404380 106755475 213510950 427021900