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366426540 = 223253721487
BaseRepresentation
bin10101110101110…
…011100110101100
3221112111101201100
4111311303212230
51222301122130
6100205443100
712036400644
oct2565634654
9845441640
10366426540
11178924757
12a2870490
135abb7c4c
1436945524
1522280c60
hex15d739ac

366426540 has 108 divisors (see below), whose sum is σ = 1143114336. Its totient is φ = 95008896.

The previous prime is 366426497. The next prime is 366426559. The reversal of 366426540 is 45624663.

366426540 is a `hidden beast` number, since 3 + 6 + 642 + 6 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 366426495 and 366426504.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 245677 + ... + 247163.

It is an arithmetic number, because the mean of its divisors is an integer number (10584392).

Almost surely, 2366426540 is an apocalyptic number.

366426540 is a gapful number since it is divisible by the number (30) 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 366426540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571557168).

366426540 is an abundant number, since it is smaller than the sum of its proper divisors (776687796).

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

366426540 is a wasteful number, since it uses less digits than its factorization.

366426540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 366426540 is about 19142.2710251422. The cubic root of 366426540 is about 715.5867776792.

The spelling of 366426540 in words is "three hundred sixty-six million, four hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1369 1487 1665 2220 2738 2974 3330 4107 4461 5476 5948 6660 6845 7435 8214 8922 12321 13383 13690 14870 16428 17844 20535 22305 24642 26766 27380 29740 41070 44610 49284 53532 55019 61605 66915 82140 89220 110038 123210 133830 165057 220076 246420 267660 275095 330114 495171 550190 660228 825285 990342 1100380 1650570 1980684 2035703 2475855 3301140 4071406 4951710 6107109 8142812 9903420 10178515 12214218 18321327 20357030 24428436 30535545 36642654 40714060 61071090 73285308 91606635 122142180 183213270 366426540