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69994368 = 273443157
BaseRepresentation
bin1000010110000…
…00011110000000
311212201002020000
410023000132000
5120404304433
610540120000
71506641133
oct413003600
9155632200
1069994368
1136567894
121b536000
13116690b2
14942021a
156229113
hex42c0780

69994368 has 160 divisors (see below), whose sum is σ = 214503960. Its totient is φ = 22643712.

The previous prime is 69994363. The next prime is 69994381. The reversal of 69994368 is 86349996.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69994363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445746 + ... + 445902.

Almost surely, 269994368 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 69994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251980).

69994368 is an abundant number, since it is smaller than the sum of its proper divisors (144509592).

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

69994368 is a wasteful number, since it uses less digits than its factorization.

69994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 69994368 is about 8366.2636821941. The cubic root of 69994368 is about 412.1174767897.

The spelling of 69994368 in words is "sixty-nine million, nine hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 157 162 172 192 216 258 288 314 324 344 384 387 432 471 516 576 628 648 688 774 864 942 1032 1152 1161 1256 1296 1376 1413 1548 1728 1884 2064 2322 2512 2592 2752 2826 3096 3456 3483 3768 4128 4239 4644 5024 5184 5504 5652 6192 6751 6966 7536 8256 8478 9288 10048 10368 11304 12384 12717 13502 13932 15072 16512 16956 18576 20096 20253 22608 24768 25434 27004 27864 30144 33912 37152 40506 45216 49536 50868 54008 55728 60288 60759 67824 74304 81012 90432 101736 108016 111456 121518 135648 148608 162024 180864 182277 203472 216032 222912 243036 271296 324048 364554 406944 432064 445824 486072 542592 546831 648096 729108 813888 864128 972144 1093662 1296192 1458216 1627776 1944288 2187324 2592384 2916432 3888576 4374648 5832864 7777152 8749296 11665728 17498592 23331456 34997184 69994368