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67772340 = 22325715303
BaseRepresentation
bin1000000101000…
…01111110110100
311201112012011200
410002201332310
5114322203330
610420332500
71452024666
oct402417664
9151465150
1067772340
113528a3a9
121a844130
131106b89c
149002536
155e3aa60
hex40a1fb4

67772340 has 72 divisors (see below), whose sum is σ = 208510848. Its totient is φ = 17814720.

The previous prime is 67772323. The next prime is 67772351. The reversal of 67772340 is 4327776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67772295 and 67772304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10129 + ... + 15431.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 267772340 is an apocalyptic number.

67772340 is a gapful number since it is divisible by the number (60) 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 67772340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104255424).

67772340 is an abundant number, since it is smaller than the sum of its proper divisors (140738508).

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

67772340 is a wasteful number, since it uses less digits than its factorization.

67772340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 67772340 is about 8232.3957630814. The cubic root of 67772340 is about 407.7094962037.

The spelling of 67772340 in words is "sixty-seven million, seven hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 5303 6390 10606 12780 15909 21212 26515 31818 47727 53030 63636 79545 95454 106060 159090 190908 238635 318180 376513 477270 753026 954540 1129539 1506052 1882565 2259078 3388617 3765130 4518156 5647695 6777234 7530260 11295390 13554468 16943085 22590780 33886170 67772340