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69660640 = 255737412
BaseRepresentation
bin1000010011011…
…10111111100000
311212002010102201
410021232333200
5120313120030
610525022544
71504051150
oct411567740
9155063381
1069660640
113635a085
121b3b4a54
131158021a
149374760
1561b02ca
hex426efe0

69660640 has 144 divisors (see below), whose sum is σ = 197993376. Its totient is φ = 22671360.

The previous prime is 69660601. The next prime is 69660649. The reversal of 69660640 is 4606696.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 69660640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69660649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699020 + ... + 1699060.

It is an arithmetic number, because the mean of its divisors is an integer number (1374954).

Almost surely, 269660640 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 69660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98996688).

69660640 is an abundant number, since it is smaller than the sum of its proper divisors (128332736).

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

69660640 is a wasteful number, since it uses less digits than its factorization.

69660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 69660640 is about 8346.2949863997. The cubic root of 69660640 is about 411.4614511128.

The spelling of 69660640 in words is "sixty-nine million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 41 56 70 74 80 82 112 140 148 160 164 185 205 224 259 280 287 296 328 370 410 518 560 574 592 656 740 820 1036 1120 1148 1184 1295 1312 1435 1480 1517 1640 1681 2072 2296 2590 2870 2960 3034 3280 3362 4144 4592 5180 5740 5920 6068 6560 6724 7585 8288 8405 9184 10360 10619 11480 11767 12136 13448 15170 16810 20720 21238 22960 23534 24272 26896 30340 33620 41440 42476 45920 47068 48544 53095 53792 58835 60680 62197 67240 84952 94136 106190 117670 121360 124394 134480 169904 188272 212380 235340 242720 248788 268960 310985 339808 376544 424760 435379 470680 497576 621970 849520 870758 941360 995152 1243940 1699040 1741516 1882720 1990304 2176895 2487880 3483032 4353790 4975760 6966064 8707580 9951520 13932128 17415160 34830320 69660640