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67988480 = 210572271
BaseRepresentation
bin1000000110101…
…10110000000000
311201221011122212
410003112300000
5114401112410
610425121252
71453615100
oct403266000
9151834585
1067988480
113541782a
121a929228
1311116091
14905b200
155e7eb05
hex40d6c00

67988480 has 132 divisors (see below), whose sum is σ = 190420128. Its totient is φ = 23224320.

The previous prime is 67988471. The next prime is 67988489. The reversal of 67988480 is 8488976.

It is an interprime number because it is at equal distance from previous prime (67988471) and next prime (67988489).

It is not an unprimeable number, because it can be changed into a prime (67988489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250745 + ... + 251015.

Almost surely, 267988480 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 67988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95210064).

67988480 is an abundant number, since it is smaller than the sum of its proper divisors (122431648).

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

67988480 is a wasteful number, since it uses less digits than its factorization.

67988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 67988480 is about 8245.5127190491. The cubic root of 67988480 is about 408.1424595435.

The spelling of 67988480 in words is "sixty-seven million, nine hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 271 280 320 392 448 490 512 542 560 640 784 896 980 1024 1084 1120 1280 1355 1568 1792 1897 1960 2168 2240 2560 2710 3136 3584 3794 3920 4336 4480 5120 5420 6272 7168 7588 7840 8672 8960 9485 10840 12544 13279 15176 15680 17344 17920 18970 21680 25088 26558 30352 31360 34688 35840 37940 43360 50176 53116 60704 62720 66395 69376 75880 86720 106232 121408 125440 132790 138752 151760 173440 212464 242816 250880 265580 277504 303520 346880 424928 485632 531160 607040 693760 849856 971264 1062320 1214080 1387520 1699712 1942528 2124640 2428160 3399424 4249280 4856320 6798848 8498560 9712640 13597696 16997120 33994240 67988480