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60666880 = 210517241
BaseRepresentation
bin1110011101101…
…1010000000000
311020011012022111
43213123100000
5111012320010
610004145104
71334442241
oct347332000
9136135274
1060666880
1131276a1a
1218398194
13c751681
1480b2cc8
1554d558a
hex39db400

60666880 has 132 divisors (see below), whose sum is σ = 158364108. Its totient is φ = 22282240.

The previous prime is 60666877. The next prime is 60666883. The reversal of 60666880 is 8866606.

It is an interprime number because it is at equal distance from previous prime (60666877) and next prime (60666883).

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 60466176 = 448^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60666883) 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 11 ways as a sum of consecutive naturals, for example, 1479660 + ... + 1479700.

Almost surely, 260666880 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 60666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79182054).

60666880 is an abundant number, since it is smaller than the sum of its proper divisors (97697228).

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

60666880 is a wasteful number, since it uses less digits than its factorization.

60666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 60666880 is about 7788.8946584223. The cubic root of 60666880 is about 392.9318383904.

The spelling of 60666880 in words is "sixty million, six hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 128 136 160 164 170 205 256 272 289 320 328 340 410 512 544 578 640 656 680 697 820 1024 1088 1156 1280 1312 1360 1394 1445 1640 2176 2312 2560 2624 2720 2788 2890 3280 3485 4352 4624 5120 5248 5440 5576 5780 6560 6970 8704 9248 10496 10880 11152 11560 11849 13120 13940 17408 18496 20992 21760 22304 23120 23698 26240 27880 36992 41984 43520 44608 46240 47396 52480 55760 59245 73984 87040 89216 92480 94792 104960 111520 118490 147968 178432 184960 189584 209920 223040 236980 295936 356864 369920 379168 446080 473960 713728 739840 758336 892160 947920 1479680 1516672 1784320 1895840 3033344 3568640 3791680 6066688 7583360 12133376 15166720 30333440 60666880