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200400140 = 225372271193
BaseRepresentation
bin10111111000111…
…01110100001100
3111222002101022102
423330131310030
5402300301030
631515134232
74652241653
oct1374356414
9458071272
10200400140
11a3136656
1257144378
1332697485
141c88819a
15128d7c45
hexbf1dd0c

200400140 has 48 divisors (see below), whose sum is σ = 434482272. Its totient is φ = 77584896.

The previous prime is 200400133. The next prime is 200400181. The reversal of 200400140 is 41004002.

It is a super-2 number, since 2×2004001402 = 80320432224039200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167384 + ... + 168576.

It is an arithmetic number, because the mean of its divisors is an integer number (9051714).

Almost surely, 2200400140 is an apocalyptic number.

200400140 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 200400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217241136).

200400140 is an abundant number, since it is smaller than the sum of its proper divisors (234082132).

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

200400140 is a wasteful number, since it uses less digits than its factorization.

200400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 200400140 is about 14156.2756401534. The cubic root of 200400140 is about 585.1932933225.

Adding to 200400140 its reverse (41004002), we get a palindrome (241404142).

The spelling of 200400140 in words is "two hundred million, four hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 227 370 454 740 908 1135 1193 2270 2386 4540 4772 5965 8399 11930 16798 23860 33596 41995 44141 83990 88282 167980 176564 220705 270811 441410 541622 882820 1083244 1354055 2708110 5416220 10020007 20040014 40080028 50100035 100200070 200400140