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200140752 = 24371314547
BaseRepresentation
bin10111110110111…
…10011111010000
3111221121012111110
423323132133100
5402214001002
631505413320
74650111510
oct1373363720
9457535443
10200140752
11a2a79789
125703a240
13326063a6
141c81b840
1512885e6c
hexbede7d0

200140752 has 80 divisors (see below), whose sum is σ = 595533312. Its totient is φ = 56734080.

The previous prime is 200140729. The next prime is 200140757. The reversal of 200140752 is 257041002.

It is a super-2 number, since 2×2001407522 = 80112641222251008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200140757) 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, 41743 + ... + 46289.

Almost surely, 2200140752 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 200140752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297766656).

200140752 is an abundant number, since it is smaller than the sum of its proper divisors (395392560).

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

200140752 is a wasteful number, since it uses less digits than its factorization.

200140752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 200140752 is about 14147.1110831859. Note that the first 3 decimals coincide. The cubic root of 200140752 is about 584.9407025878.

Adding to 200140752 its reverse (257041002), we get a palindrome (457181754).

The spelling of 200140752 in words is "two hundred million, one hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 4547 5502 6288 7336 9094 11004 13641 14672 18188 22008 27282 31829 36376 44016 54564 63658 72752 95487 109128 127316 190974 218256 254632 381948 509264 595657 763896 1191314 1527792 1786971 2382628 3573942 4169599 4765256 7147884 8339198 9530512 12508797 14295768 16678396 25017594 28591536 33356792 50035188 66713584 100070376 200140752