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67396480 = 275314379
BaseRepresentation
bin1000000010001…
…10001110000000
311200211002120221
410001012032000
5114223141410
610404312424
71445601124
oct401061600
9150732527
1067396480
1135052a78
121a6a2714
1310c69798
148d45584
155db44da
hex4046380

67396480 has 128 divisors (see below), whose sum is σ = 172339200. Its totient is φ = 25159680.

The previous prime is 67396423. The next prime is 67396501. The reversal of 67396480 is 8469376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853081 + ... + 853159.

It is an arithmetic number, because the mean of its divisors is an integer number (1346400).

Almost surely, 267396480 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 67396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

67396480 is an abundant number, since it is smaller than the sum of its proper divisors (104942720).

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

67396480 is a wasteful number, since it uses less digits than its factorization.

67396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 67396480 is about 8209.5359186741. The cubic root of 67396480 is about 406.9543904282.

It can be divided in two parts, 67396 and 480, that added together give a palindrome (67876).

The spelling of 67396480 in words is "sixty-seven million, three hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 79 80 86 124 128 155 158 160 172 215 248 310 316 320 344 395 430 496 620 632 640 688 790 860 992 1240 1264 1333 1376 1580 1720 1984 2449 2480 2528 2666 2752 3160 3397 3440 3968 4898 4960 5056 5332 5504 6320 6665 6794 6880 9796 9920 10112 10664 12245 12640 13330 13588 13760 16985 19592 19840 21328 24490 25280 26660 27176 27520 33970 39184 42656 48980 50560 53320 54352 67940 78368 85312 97960 105307 106640 108704 135880 156736 170624 195920 210614 213280 217408 271760 313472 391840 421228 426560 434816 526535 543520 783680 842456 853120 1053070 1087040 1567360 1684912 2106140 2174080 3369824 4212280 6739648 8424560 13479296 16849120 33698240 67396480