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31969140 = 22357103739
BaseRepresentation
bin111100111110…
…0111101110100
32020011012102020
41321330331310
531141003030
63101113140
7535506330
oct171747564
966135366
1031969140
1117055985
12a8587b0
136814368
1443627c0
152c17510
hex1e7cf74

31969140 has 96 divisors (see below), whose sum is σ = 103434240. Its totient is φ = 7226496.

The previous prime is 31969127. The next prime is 31969141. The reversal of 31969140 is 4196913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31969141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42891 + ... + 43629.

It is an arithmetic number, because the mean of its divisors is an integer number (1077440).

Almost surely, 231969140 is an apocalyptic number.

31969140 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 31969140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51717120).

31969140 is an abundant number, since it is smaller than the sum of its proper divisors (71465100).

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

31969140 is a wasteful number, since it uses less digits than its factorization.

31969140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 31969140 is about 5654.1259271438. The cubic root of 31969140 is about 317.3781209098.

The spelling of 31969140 in words is "thirty-one million, nine hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 739 1030 1236 1442 1478 1545 2060 2163 2217 2884 2956 3090 3605 3695 4326 4434 5173 6180 7210 7390 8652 8868 10346 10815 11085 14420 14780 15519 20692 21630 22170 25865 31038 43260 44340 51730 62076 76117 77595 103460 152234 155190 228351 304468 310380 380585 456702 532819 761170 913404 1065638 1141755 1522340 1598457 2131276 2283510 2664095 3196914 4567020 5328190 6393828 7992285 10656380 15984570 31969140