Search a number
-
+
67048740 = 223251133863
BaseRepresentation
bin1111111111000…
…1010100100100
311200011102120200
43333301110210
5114131024430
610353030500
71442622243
oct377612444
9150142520
1067048740
1134935790
121a555430
1310b77415
148c9495a
155d46460
hex3ff1524

67048740 has 72 divisors (see below), whose sum is σ = 221876928. Its totient is φ = 16253760.

The previous prime is 67048733. The next prime is 67048747. The reversal of 67048740 is 4784076.

67048740 = 10772 + 10782 + ... + 11312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67048733) and next prime (67048747).

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 = 67048695 and 67048704.

It is not an unprimeable number, because it can be changed into a prime (67048747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14952 + ... + 18911.

It is an arithmetic number, because the mean of its divisors is an integer number (3081624).

Almost surely, 267048740 is an apocalyptic number.

67048740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67048740 is an abundant number, since it is smaller than the sum of its proper divisors (154828188).

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

67048740 is a wasteful number, since it uses less digits than its factorization.

67048740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33889 (or 33884 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67048740 is about 8188.3294999652. The cubic root of 67048740 is about 406.2532736620.

The spelling of 67048740 in words is "sixty-seven million, forty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 33863 67726 101589 135452 169315 203178 304767 338630 372493 406356 507945 609534 677260 744986 1015890 1117479 1219068 1489972 1523835 1862465 2031780 2234958 3047670 3352437 3724930 4469916 5587395 6095340 6704874 7449860 11174790 13409748 16762185 22349580 33524370 67048740