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31401200 = 2452292707
BaseRepresentation
bin111011111001…
…0010011110000
32012002100100102
41313302103300
531014314300
63041011532
7530622455
oct167622360
965070312
1031401200
11167a8206
12a623ba8
1366759bc
14425582c
152b540d5
hex1df24f0

31401200 has 60 divisors (see below), whose sum is σ = 78071640. Its totient is φ = 12122880.

The previous prime is 31401199. The next prime is 31401211. The reversal of 31401200 is 210413.

It is a happy number.

It is a super-2 number, since 2×314012002 = 1972070722880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10247 + ... + 12953.

It is an arithmetic number, because the mean of its divisors is an integer number (1301194).

Almost surely, 231401200 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 31401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39035820).

31401200 is an abundant number, since it is smaller than the sum of its proper divisors (46670440).

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

31401200 is a wasteful number, since it uses less digits than its factorization.

31401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 31401200 is about 5603.6773640173. The cubic root of 31401200 is about 315.4874455336.

Adding to 31401200 its reverse (210413), we get a palindrome (31611613).

The spelling of 31401200 in words is "thirty-one million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2707 2900 5414 5800 10828 11600 13535 21656 27070 43312 54140 67675 78503 108280 135350 157006 216560 270700 314012 392515 541400 628024 785030 1082800 1256048 1570060 1962575 3140120 3925150 6280240 7850300 15700600 31401200