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216280740 = 223513416763
BaseRepresentation
bin11001110010000…
…10111010100100
3120001222012101210
430321002322210
5420331440430
633243351420
75234233044
oct1471027244
9501865353
10216280740
111010a2a15
1260522570
1335a67890
1420a1d724
1513ec32b0
hexce42ea4

216280740 has 96 divisors (see below), whose sum is σ = 668174976. Its totient is φ = 51932160.

The previous prime is 216280733. The next prime is 216280747. The reversal of 216280740 is 47082612.

216280740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216280733) and next prime (216280747).

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 = 216280698 and 216280707.

It is not an unprimeable number, because it can be changed into a prime (216280747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28599 + ... + 35361.

It is an arithmetic number, because the mean of its divisors is an integer number (6960156).

Almost surely, 2216280740 is an apocalyptic number.

216280740 is a gapful number since it is divisible by the number (20) 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 216280740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334087488).

216280740 is an abundant number, since it is smaller than the sum of its proper divisors (451894236).

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

216280740 is a wasteful number, since it uses less digits than its factorization.

216280740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 216280740 is about 14706.4863240680. The cubic root of 216280740 is about 600.2598319072.

The spelling of 216280740 in words is "two hundred sixteen million, two hundred eighty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 6763 7995 10660 13526 15990 20289 27052 31980 33815 40578 67630 81156 87919 101445 135260 175838 202890 263757 277283 351676 405780 439595 527514 554566 831849 879190 1055028 1109132 1318785 1386415 1663698 1758380 2637570 2772830 3327396 3604679 4159245 5275140 5545660 7209358 8318490 10814037 14418716 16636980 18023395 21628074 36046790 43256148 54070185 72093580 108140370 216280740