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81467040 = 2535891907
BaseRepresentation
bin1001101101100…
…01011010100000
312200021221202210
410312301122200
5131323421130
612030042120
72006313144
oct466613240
9180257683
1081467040
1141a93436
1223349340
1313b55065
14ab69224
1572435b0
hex4db16a0

81467040 has 96 divisors (see below), whose sum is σ = 259640640. Its totient is φ = 21469184.

The previous prime is 81466999. The next prime is 81467047. The reversal of 81467040 is 4076418.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 81466989 and 81467007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81467047) 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, 41767 + ... + 43673.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 281467040 is an apocalyptic number.

81467040 is a gapful number since it is divisible by the number (80) 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 81467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129820320).

81467040 is an abundant number, since it is smaller than the sum of its proper divisors (178173600).

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

81467040 is a wasteful number, since it uses less digits than its factorization.

81467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 81467040 is about 9025.9093724677. The cubic root of 81467040 is about 433.5048683151.

The spelling of 81467040 in words is "eighty-one million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 1907 2136 2670 2848 3560 3814 4272 5340 5721 7120 7628 8544 9535 10680 11442 14240 15256 19070 21360 22884 28605 30512 38140 42720 45768 57210 61024 76280 91536 114420 152560 169723 183072 228840 305120 339446 457680 509169 678892 848615 915360 1018338 1357784 1697230 2036676 2545845 2715568 3394460 4073352 5091690 5431136 6788920 8146704 10183380 13577840 16293408 20366760 27155680 40733520 81467040