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1366554140 = 225724729669
BaseRepresentation
bin101000101110011…
…1111011000011100
310112020102010212022
41101130333120130
510244314213030
6343333555312
745602342600
oct12134773034
93466363768
101366554140
11641425396
123217a5b38
1318a16b223
14cd6c7500
157ee89de5
hex5173f61c

1366554140 has 72 divisors (see below), whose sum is σ = 3409439040. Its totient is φ = 458548608.

The previous prime is 1366554127. The next prime is 1366554143. The reversal of 1366554140 is 414556631.

It is a super-2 number, since 2×13665541402 = 3734940435102279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1366554140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366554143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31226 + ... + 60894.

It is an arithmetic number, because the mean of its divisors is an integer number (47353320).

Almost surely, 21366554140 is an apocalyptic number.

1366554140 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 1366554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704719520).

1366554140 is an abundant number, since it is smaller than the sum of its proper divisors (2042884900).

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

1366554140 is a wasteful number, since it uses less digits than its factorization.

1366554140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29739 (or 29730 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 1366554140 is about 36966.9330618595. The cubic root of 1366554140 is about 1109.7085889240.

The spelling of 1366554140 in words is "one billion, three hundred sixty-six million, five hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 3290 4606 6580 9212 11515 23030 29669 46060 59338 118676 148345 207683 296690 415366 593380 830732 1038415 1394443 1453781 2076830 2788886 2907562 4153660 5577772 5815124 6972215 7268905 9761101 13944430 14537810 19522202 27888860 29075620 39044404 48805505 68327707 97611010 136655414 195222020 273310828 341638535 683277070 1366554140