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68002416 = 2434137383
BaseRepresentation
bin1000000110110…
…10001001110000
311201221212210000
410003122021300
5114402034131
610425310000
71454003526
oct403321160
9151855700
1068002416
1135427249
121a935300
131111c521
149062316
155e83ce6
hex40da270

68002416 has 100 divisors (see below), whose sum is σ = 198772992. Its totient is φ = 22443264.

The previous prime is 68002409. The next prime is 68002423. The reversal of 68002416 is 61420086.

It is an interprime number because it is at equal distance from previous prime (68002409) and next prime (68002423).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 68002416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177361 + ... + 177743.

Almost surely, 268002416 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 68002416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99386496).

68002416 is an abundant number, since it is smaller than the sum of its proper divisors (130770576).

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

68002416 is a wasteful number, since it uses less digits than its factorization.

68002416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68002416 is about 8246.3577414517. The cubic root of 68002416 is about 408.1703440946.

It can be divided in two parts, 6800 and 2416, that added together give a square (9216 = 962).

The spelling of 68002416 in words is "sixty-eight million, two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 162 216 274 324 383 411 432 548 648 766 822 1096 1149 1233 1296 1532 1644 2192 2298 2466 3064 3288 3447 3699 4596 4932 6128 6576 6894 7398 9192 9864 10341 11097 13788 14796 18384 19728 20682 22194 27576 29592 31023 41364 44388 52471 55152 59184 62046 82728 88776 104942 124092 157413 165456 177552 209884 248184 314826 419768 472239 496368 629652 839536 944478 1259304 1416717 1888956 2518608 2833434 3777912 4250151 5666868 7555824 8500302 11333736 17000604 22667472 34001208 68002416