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200032040 = 235133131229
BaseRepresentation
bin10111110110000…
…11111100101000
3111221101200101002
423323003330220
5402202011130
631503214132
74646146535
oct1373037450
9457350332
10200032040
11a2a0503a
1256ba7348
1332598a70
141c7cdd8c
1512863b45
hexbec3f28

200032040 has 64 divisors (see below), whose sum is σ = 486637200. Its totient is φ = 73562112.

The previous prime is 200032037. The next prime is 200032043. The reversal of 200032040 is 40230002.

It is an interprime number because it is at equal distance from previous prime (200032037) and next prime (200032043).

It can be written as a sum of positive squares in 8 ways, for example, as 46321636 + 153710404 = 6806^2 + 12398^2 .

It is not an unprimeable number, because it can be changed into a prime (200032043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162146 + ... + 163374.

Almost surely, 2200032040 is an apocalyptic number.

200032040 is a gapful number since it is divisible by the number (20) 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 200032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243318600).

200032040 is an abundant number, since it is smaller than the sum of its proper divisors (286605160).

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

200032040 is a wasteful number, since it uses less digits than its factorization.

200032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 200032040 is about 14143.2683634300. The cubic root of 200032040 is about 584.8347744846.

Adding to 200032040 its reverse (40230002), we get a palindrome (240262042).

The spelling of 200032040 in words is "two hundred million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 313 520 626 1229 1252 1565 2458 2504 3130 4069 4916 6145 6260 8138 9832 12290 12520 15977 16276 20345 24580 31954 32552 40690 49160 63908 79885 81380 127816 159770 162760 319540 384677 639080 769354 1538708 1923385 3077416 3846770 5000801 7693540 10001602 15387080 20003204 25004005 40006408 50008010 100016020 200032040