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66372240 = 24351131811
BaseRepresentation
bin1111110100110…
…0001010010000
311121220001121010
43331030022100
5113442402430
610330330520
71434104034
oct375141220
9147801533
1066372240
11345134a0
121a289a40
131099b51c
148b5a1c4
155c60cb0
hex3f4c290

66372240 has 160 divisors (see below), whose sum is σ = 231985152. Its totient is φ = 15552000.

The previous prime is 66372239. The next prime is 66372259. The reversal of 66372240 is 4227366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66372198 and 66372207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81435 + ... + 82245.

Almost surely, 266372240 is an apocalyptic number.

66372240 is a gapful number since it is divisible by the number (60) 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 66372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115992576).

66372240 is an abundant number, since it is smaller than the sum of its proper divisors (165612912).

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

66372240 is a wasteful number, since it uses less digits than its factorization.

66372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 66372240 is about 8146.9159809096. The cubic root of 66372240 is about 404.8823313089.

The spelling of 66372240 in words is "sixty-six million, three hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 811 880 930 1023 1240 1320 1364 1488 1622 1705 1860 2046 2433 2480 2640 2728 3244 3410 3720 4055 4092 4866 5115 5456 6488 6820 7440 8110 8184 8921 9732 10230 12165 12976 13640 16220 16368 17842 19464 20460 24330 25141 26763 27280 32440 35684 38928 40920 44605 48660 50282 53526 64880 71368 75423 81840 89210 97320 100564 107052 125705 133815 142736 150846 178420 194640 201128 214104 251410 267630 276551 301692 356840 377115 402256 428208 502820 535260 553102 603384 713680 754230 829653 1005640 1070520 1106204 1206768 1382755 1508460 1659306 2011280 2141040 2212408 2765510 3016920 3318612 4148265 4424816 5531020 6033840 6637224 8296530 11062040 13274448 16593060 22124080 33186120 66372240