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31197840 = 2435612131
BaseRepresentation
bin111011100000…
…0101010010000
32011201000101120
41313000222100
530441312330
63032402240
7526114542
oct167005220
964630346
1031197840
1116679443
12a546380
13660427b
144201692
152b13c10
hex1dc0a90

31197840 has 80 divisors (see below), whose sum is σ = 98344896. Its totient is φ = 8179200.

The previous prime is 31197809. The next prime is 31197841. The reversal of 31197840 is 4879113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31197841) 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, 13575 + ... + 15705.

Almost surely, 231197840 is an apocalyptic number.

31197840 is a gapful number since it is divisible by the number (30) 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 31197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49172448).

31197840 is an abundant number, since it is smaller than the sum of its proper divisors (67147056).

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

31197840 is a wasteful number, since it uses less digits than its factorization.

31197840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 31197840 is about 5585.5026631450. The cubic root of 31197840 is about 314.8049182621.

The spelling of 31197840 in words is "thirty-one million, one hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2131 2440 2928 3660 4262 4880 6393 7320 8524 10655 12786 14640 17048 21310 25572 31965 34096 42620 51144 63930 85240 102288 127860 129991 170480 255720 259982 389973 511440 519964 649955 779946 1039928 1299910 1559892 1949865 2079856 2599820 3119784 3899730 5199640 6239568 7799460 10399280 15598920 31197840