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68916480 = 2835131137
BaseRepresentation
bin1000001101110…
…01010100000000
311210200022122020
410012321110000
5120120311410
610501041440
71464531453
oct406712400
9153608566
1068916480
11359a0a76
121b0b6280
131137c5a9
14921d49a
1560b4a70
hex41b9500

68916480 has 144 divisors (see below), whose sum is σ = 223401024. Its totient is φ = 18104320.

The previous prime is 68916473. The next prime is 68916509. The reversal of 68916480 is 8461986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502972 + ... + 503108.

It is an arithmetic number, because the mean of its divisors is an integer number (1551396).

Almost surely, 268916480 is an apocalyptic number.

68916480 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 68916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111700512).

68916480 is an abundant number, since it is smaller than the sum of its proper divisors (154484544).

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

68916480 is a wasteful number, since it uses less digits than its factorization.

68916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 68916480 is about 8301.5950274631. The cubic root of 68916480 is about 409.9910368852.

It can be divided in two parts, 68916 and 480, that added together give a palindrome (69396).

The spelling of 68916480 in words is "sixty-eight million, nine hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 137 160 192 240 256 262 274 320 384 393 411 480 524 548 640 655 685 768 786 822 960 1048 1096 1280 1310 1370 1572 1644 1920 1965 2055 2096 2192 2620 2740 3144 3288 3840 3930 4110 4192 4384 5240 5480 6288 6576 7860 8220 8384 8768 10480 10960 12576 13152 15720 16440 16768 17536 17947 20960 21920 25152 26304 31440 32880 33536 35072 35894 41920 43840 50304 52608 53841 62880 65760 71788 83840 87680 89735 100608 105216 107682 125760 131520 143576 167680 175360 179470 215364 251520 263040 269205 287152 358940 430728 503040 526080 538410 574304 717880 861456 1076820 1148608 1435760 1722912 2153640 2297216 2871520 3445824 4307280 4594432 5743040 6891648 8614560 11486080 13783296 17229120 22972160 34458240 68916480