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69997680 = 24325191509
BaseRepresentation
bin1000010110000…
…01010001110000
311212201020202200
410023001101300
5120404411210
610540143200
71506653604
oct413012160
9155636680
1069997680
113656a325
121b537b00
131166a75c
149421504
15622a0c0
hex42c1470

69997680 has 120 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 18531840.

The previous prime is 69997663. The next prime is 69997709. The reversal of 69997680 is 8679996.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137266 + ... + 137774.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 269997680 is an apocalyptic number.

69997680 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 69997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

69997680 is an abundant number, since it is smaller than the sum of its proper divisors (166772880).

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

69997680 is a wasteful number, since it uses less digits than its factorization.

69997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 69997680 is about 8366.4616176733. The cubic root of 69997680 is about 412.1239768916.

The spelling of 69997680 in words is "sixty-nine million, nine hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 191 240 360 382 509 573 720 764 955 1018 1146 1527 1528 1719 1910 2036 2292 2545 2865 3054 3056 3438 3820 4072 4581 4584 5090 5730 6108 6876 7635 7640 8144 8595 9162 9168 10180 11460 12216 13752 15270 15280 17190 18324 20360 22905 22920 24432 27504 30540 34380 36648 40720 45810 45840 61080 68760 73296 91620 97219 122160 137520 183240 194438 291657 366480 388876 486095 583314 777752 874971 972190 1166628 1458285 1555504 1749942 1944380 2333256 2916570 3499884 3888760 4374855 4666512 5833140 6999768 7777520 8749710 11666280 13999536 17499420 23332560 34998840 69997680