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213938970 = 23579531069
BaseRepresentation
bin11001100000001…
…11001100011010
3112220120020002120
430300013030122
5414232021340
633121242110
75205310530
oct1460071432
9486506076
10213938970
11aa843573
125b793336
1335427a0b
14205b0150
1513bae4d0
hexcc0731a

213938970 has 64 divisors (see below), whose sum is σ = 587969280. Its totient is φ = 48803328.

The previous prime is 213938951. The next prime is 213938981. The reversal of 213938970 is 79839312.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 199596 + ... + 200664.

It is an arithmetic number, because the mean of its divisors is an integer number (9187020).

Almost surely, 2213938970 is an apocalyptic number.

213938970 is an abundant number, since it is smaller than the sum of its proper divisors (374030310).

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

213938970 is a wasteful number, since it uses less digits than its factorization.

213938970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 213938970 is about 14626.6527271280. The cubic root of 213938970 is about 598.0855367702.

The spelling of 213938970 in words is "two hundred thirteen million, nine hundred thirty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 953 1069 1906 2138 2859 3207 4765 5345 5718 6414 6671 7483 9530 10690 13342 14295 14966 16035 20013 22449 28590 32070 33355 37415 40026 44898 66710 74830 100065 112245 200130 224490 1018757 2037514 3056271 5093785 6112542 7131299 10187570 14262598 15281355 21393897 30562710 35656495 42787794 71312990 106969485 213938970