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1366648020 = 22325173114407
BaseRepresentation
bin101000101110101…
…0110010011010100
310112020120220122100
41101131112103110
510244330214040
6343340002100
745603213363
oct12135262324
93466526570
101366648020
11641489981
12321830330
1318a1a1b8a
14cd70d7da
157eea7b30
hex517564d4

1366648020 has 144 divisors (see below), whose sum is σ = 4531258368. Its totient is φ = 331914240.

The previous prime is 1366647991. The next prime is 1366648027. The reversal of 1366648020 is 208466631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366648027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87657 + ... + 102063.

It is an arithmetic number, because the mean of its divisors is an integer number (31467072).

Almost surely, 21366648020 is an apocalyptic number.

1366648020 is a gapful number since it is divisible by the number (10) 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 1366648020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265629184).

1366648020 is an abundant number, since it is smaller than the sum of its proper divisors (3164610348).

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

1366648020 is a wasteful number, since it uses less digits than its factorization.

1366648020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470 (or 14465 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1366648020 is about 36968.2028235077. The cubic root of 1366648020 is about 1109.7340000545.

The spelling of 1366648020 in words is "one billion, three hundred sixty-six million, six hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2790 3060 3162 4743 5270 5580 6324 7905 9486 10540 14407 15810 18972 23715 28814 31620 43221 47430 57628 72035 86442 94860 129663 144070 172884 216105 244919 259326 288140 432210 446617 489838 518652 648315 734757 864420 893234 979676 1224595 1296630 1339851 1469514 1786468 2204271 2233085 2449190 2593260 2679702 2939028 3673785 4019553 4408542 4466170 4898380 5359404 6699255 7347570 7592489 8039106 8817084 8932340 11021355 13398510 14695140 15184978 16078212 20097765 22042710 22777467 26797020 30369956 37962445 40195530 44085420 45554934 68332401 75924890 80391060 91109868 113887335 136664802 151849780 227774670 273329604 341662005 455549340 683324010 1366648020