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31400720 = 24513109277
BaseRepresentation
bin111011111001…
…0001100010000
32012002022200122
41313302030100
531014310340
63041005412
7530621201
oct167621420
965068618
1031400720
11167a790a
12a623868
136675710
1442555a8
152b53db5
hex1df2310

31400720 has 80 divisors (see below), whose sum is σ = 79630320. Its totient is φ = 11446272.

The previous prime is 31400701. The next prime is 31400723. The reversal of 31400720 is 2700413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3564544 + 27836176 = 1888^2 + 5276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31400723) 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, 113222 + ... + 113498.

It is an arithmetic number, because the mean of its divisors is an integer number (995379).

Almost surely, 231400720 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 31400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39815160).

31400720 is an abundant number, since it is smaller than the sum of its proper divisors (48229600).

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

31400720 is a wasteful number, since it uses less digits than its factorization.

31400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 31400720 is about 5603.6345348354. The cubic root of 31400720 is about 315.4858380075.

The spelling of 31400720 in words is "thirty-one million, four hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 277 436 520 545 554 872 1040 1090 1108 1385 1417 1744 2180 2216 2770 2834 3601 4360 4432 5540 5668 7085 7202 8720 11080 11336 14170 14404 18005 22160 22672 28340 28808 30193 36010 56680 57616 60386 72020 113360 120772 144040 150965 241544 288080 301930 392509 483088 603860 785018 1207720 1570036 1962545 2415440 3140072 3925090 6280144 7850180 15700360 31400720