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67687740 = 223252912967
BaseRepresentation
bin1000000100011…
…01010100111100
311201100220010100
410002031110330
5114312001430
610414441100
71451223231
oct402152474
9151326110
1067687740
113523188a
121a803190
131103c223
148dbd788
155e20960
hex408d53c

67687740 has 72 divisors (see below), whose sum is σ = 212415840. Its totient is φ = 17426304.

The previous prime is 67687729. The next prime is 67687757. The reversal of 67687740 is 4778676.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (2950220).

Almost surely, 267687740 is an apocalyptic number.

67687740 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 67687740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106207920).

67687740 is an abundant number, since it is smaller than the sum of its proper divisors (144728100).

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

67687740 is a wasteful number, since it uses less digits than its factorization.

67687740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 67687740 is about 8227.2559216302. The cubic root of 67687740 is about 407.5397780683.

The spelling of 67687740 in words is "sixty-seven million, six hundred eighty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 12967 25934 38901 51868 64835 77802 116703 129670 155604 194505 233406 259340 376043 389010 466812 583515 752086 778020 1128129 1167030 1504172 1880215 2256258 2334060 3384387 3760430 4512516 5640645 6768774 7520860 11281290 13537548 16921935 22562580 33843870 67687740