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3630003060 = 2235234164157
BaseRepresentation
bin1101100001011101…
…0111001101110100
3100100222111021001210
43120113113031310
524413240044220
61400111321420
7155645342205
oct33027271564
910328437053
103630003060
1115a3051032
12853820270
1345b086608
1426615d5ac
15163a3b6e0
hexd85d7374

3630003060 has 96 divisors (see below), whose sum is σ = 10864772352. Its totient is φ = 903316480.

The previous prime is 3630003053. The next prime is 3630003079. The reversal of 3630003060 is 603000363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24502 + ... + 88658.

It is an arithmetic number, because the mean of its divisors is an integer number (113174712).

Almost surely, 23630003060 is an apocalyptic number.

3630003060 is a gapful number since it is divisible by the number (30) 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 3630003060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432386176).

3630003060 is an abundant number, since it is smaller than the sum of its proper divisors (7234769292).

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

3630003060 is a wasteful number, since it uses less digits than its factorization.

3630003060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64233 (or 64231 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3630003060 is about 60249.5067199724. The cubic root of 3630003060 is about 1536.8647999413.

The spelling of 3630003060 in words is "three billion, six hundred thirty million, three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 615 690 820 943 1230 1380 1886 2460 2829 3772 4715 5658 9430 11316 14145 18860 28290 56580 64157 128314 192471 256628 320785 384942 641570 769884 962355 1283140 1475611 1924710 2630437 2951222 3849420 4426833 5260874 5902444 7378055 7891311 8853666 10521748 13152185 14756110 15782622 17707332 22134165 26304370 29512220 31565244 39456555 44268330 52608740 60500051 78913110 88536660 121000102 157826220 181500153 242000204 302500255 363000306 605000510 726000612 907500765 1210001020 1815001530 3630003060