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67421904 = 24311149857
BaseRepresentation
bin1000000010011…
…00011011010000
311200212101110120
410001030123100
5114230000104
610405030240
71446035214
oct401143320
9150771416
1067421904
1135070090
121a6b5380
1310c78224
148d50944
155dbbcd9
hex404c6d0

67421904 has 80 divisors (see below), whose sum is σ = 191505600. Its totient is φ = 20270080.

The previous prime is 67421903. The next prime is 67421909. The reversal of 67421904 is 40912476.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67421903) 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, 78244 + ... + 79100.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 267421904 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 67421904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95752800).

67421904 is an abundant number, since it is smaller than the sum of its proper divisors (124083696).

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

67421904 is a wasteful number, since it uses less digits than its factorization.

67421904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 67421904 is about 8211.0842158633. The cubic root of 67421904 is about 407.0055558486.

It can be divided in two parts, 6742 and 1904, that added together give a triangular number (8646 = T131).

The spelling of 67421904 in words is "sixty-seven million, four hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 857 894 1192 1639 1714 1788 2384 2571 3278 3428 3576 4917 5142 6556 6856 7152 9427 9834 10284 13112 13712 18854 19668 20568 26224 28281 37708 39336 41136 56562 75416 78672 113124 127693 150832 226248 255386 383079 452496 510772 766158 1021544 1404623 1532316 2043088 2809246 3064632 4213869 5618492 6129264 8427738 11236984 16855476 22473968 33710952 67421904