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81371640 = 23357731327
BaseRepresentation
bin1001101100110…
…10000111111000
312200010002220110
410312122013320
5131312343030
612024024320
72005435050
oct466320770
9180102813
1081371640
1141a28799
12233020a0
1313b207cc
14ab42560
1572251b0
hex4d9a1f8

81371640 has 128 divisors (see below), whose sum is σ = 283023360. Its totient is φ = 18330624.

The previous prime is 81371629. The next prime is 81371657. The reversal of 81371640 is 4617318.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 81371598 and 81371607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60657 + ... + 61983.

It is an arithmetic number, because the mean of its divisors is an integer number (2211120).

Almost surely, 281371640 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 81371640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141511680).

81371640 is an abundant number, since it is smaller than the sum of its proper divisors (201651720).

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

81371640 is a wasteful number, since it uses less digits than its factorization.

81371640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 81371640 is about 9020.6230383494. The cubic root of 81371640 is about 433.3355871020.

Adding to 81371640 its reverse (4617318), we get a palindrome (85988958).

The spelling of 81371640 in words is "eighty-one million, three hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 365 420 438 511 584 730 840 876 1022 1095 1327 1460 1533 1752 2044 2190 2555 2654 2920 3066 3981 4088 4380 5110 5308 6132 6635 7665 7962 8760 9289 10220 10616 12264 13270 15330 15924 18578 19905 20440 26540 27867 30660 31848 37156 39810 46445 53080 55734 61320 74312 79620 92890 96871 111468 139335 159240 185780 193742 222936 278670 290613 371560 387484 484355 557340 581226 678097 774968 968710 1114680 1162452 1356194 1453065 1937420 2034291 2324904 2712388 2906130 3390485 3874840 4068582 5424776 5812260 6780970 8137164 10171455 11624520 13561940 16274328 20342910 27123880 40685820 81371640