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67230480 = 24353767113
BaseRepresentation
bin1000000000111…
…01101100010000
311200111122212210
410000131230100
5114202333410
610400552120
71444310142
oct400355420
9150448783
1067230480
1134a4a289
121a622640
1310c0c065
148d00c92
155d80220
hex401db10

67230480 has 160 divisors (see below), whose sum is σ = 219164544. Its totient is φ = 17031168.

The previous prime is 67230473. The next prime is 67230487. The reversal of 67230480 is 8403276.

It is an interprime number because it is at equal distance from previous prime (67230473) and next prime (67230487).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (67230487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594904 + ... + 595016.

Almost surely, 267230480 is an apocalyptic number.

67230480 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 67230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109582272).

67230480 is an abundant number, since it is smaller than the sum of its proper divisors (151934064).

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

67230480 is a wasteful number, since it uses less digits than its factorization.

67230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67230480 is about 8199.4194916470. The cubic root of 67230480 is about 406.6200012146.

The spelling of 67230480 in words is "sixty-seven million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 67 74 80 111 113 120 134 148 185 201 222 226 240 268 296 335 339 370 402 444 452 536 555 565 592 670 678 740 804 888 904 1005 1072 1110 1130 1340 1356 1480 1608 1695 1776 1808 2010 2220 2260 2479 2680 2712 2960 3216 3390 4020 4181 4440 4520 4958 5360 5424 6780 7437 7571 8040 8362 8880 9040 9916 12395 12543 13560 14874 15142 16080 16724 19832 20905 22713 24790 25086 27120 29748 30284 33448 37185 37855 39664 41810 45426 49580 50172 59496 60568 62715 66896 74370 75710 83620 90852 99160 100344 113565 118992 121136 125430 148740 151420 167240 181704 198320 200688 227130 250860 280127 297480 302840 334480 363408 454260 501720 560254 594960 605680 840381 908520 1003440 1120508 1400635 1680762 1817040 2241016 2801270 3361524 4201905 4482032 5602540 6723048 8403810 11205080 13446096 16807620 22410160 33615240 67230480