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215748040 = 23519267223
BaseRepresentation
bin11001101110000…
…00110111001000
3120000222010200011
430313000313020
5420212414130
633224121304
75226554014
oct1467006710
9500863604
10215748040
11100869772
1260306234
133590c281
1420921544
1513e1a52a
hexcdc0dc8

215748040 has 96 divisors (see below), whose sum is σ = 522305280. Its totient is φ = 80175744.

The previous prime is 215748017. The next prime is 215748041. The reversal of 215748040 is 40847512.

It is a junction number, because it is equal to n+sod(n) for n = 215747993 and 215748011.

It is not an unprimeable number, because it can be changed into a prime (215748041) 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 23 ways as a sum of consecutive naturals, for example, 967369 + ... + 967591.

It is an arithmetic number, because the mean of its divisors is an integer number (5440680).

Almost surely, 2215748040 is an apocalyptic number.

215748040 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 215748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261152640).

215748040 is an abundant number, since it is smaller than the sum of its proper divisors (306557240).

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

215748040 is a wasteful number, since it uses less digits than its factorization.

215748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 215748040 is about 14688.3641022409. The cubic root of 215748040 is about 599.7666129329.

The spelling of 215748040 in words is "two hundred fifteen million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 223 268 335 361 380 446 536 670 722 760 892 1115 1273 1340 1444 1784 1805 2230 2546 2680 2888 3610 4237 4460 5092 6365 7220 8474 8920 10184 12730 14440 14941 16948 21185 24187 25460 29882 33896 42370 48374 50920 59764 74705 80503 84740 96748 119528 120935 149410 161006 169480 193496 241870 283879 298820 322012 402515 483740 567758 597640 644024 805030 967480 1135516 1419395 1610060 2271032 2838790 3220120 5393701 5677580 10787402 11355160 21574804 26968505 43149608 53937010 107874020 215748040