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69097920 = 2635167431
BaseRepresentation
bin1000001111001…
…01100111000000
311211000112112020
410013211213000
5120142113140
610505001440
71466215443
oct407454700
9154015466
1069097920
1136005321
121b183280
1311414058
14926965a
1560ed6d0
hex41e59c0

69097920 has 112 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 18273280.

The previous prime is 69097913. The next prime is 69097921. The reversal of 69097920 is 2979096.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69097921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160105 + ... + 160535.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 269097920 is an apocalyptic number.

69097920 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 69097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

69097920 is an abundant number, since it is smaller than the sum of its proper divisors (152113728).

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

69097920 is a wasteful number, since it uses less digits than its factorization.

69097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 69097920 is about 8312.5158646465. The cubic root of 69097920 is about 410.3505231631.

The spelling of 69097920 in words is "sixty-nine million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 167 192 240 320 334 431 480 501 668 835 862 960 1002 1293 1336 1670 1724 2004 2155 2505 2586 2672 3340 3448 4008 4310 5010 5172 5344 6465 6680 6896 8016 8620 10020 10344 10688 12930 13360 13792 16032 17240 20040 20688 25860 26720 27584 32064 34480 40080 41376 51720 53440 68960 71977 80160 82752 103440 137920 143954 160320 206880 215931 287908 359885 413760 431862 575816 719770 863724 1079655 1151632 1439540 1727448 2159310 2303264 2879080 3454896 4318620 4606528 5758160 6909792 8637240 11516320 13819584 17274480 23032640 34548960 69097920