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36421680 = 2435295233
BaseRepresentation
bin1000101011110…
…0000000110000
32112112102011010
42022330000300
533310443210
63340350520
7621402441
oct212740060
975472133
1036421680
1119617169
1210245440
137712bb9
144ba12c8
1532e6920
hex22bc030

36421680 has 80 divisors (see below), whose sum is σ = 116822880. Its totient is φ = 9375744.

The previous prime is 36421661. The next prime is 36421691. The reversal of 36421680 is 8612463.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4344 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (1460286).

Almost surely, 236421680 is an apocalyptic number.

36421680 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 36421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58411440).

36421680 is an abundant number, since it is smaller than the sum of its proper divisors (80401200).

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

36421680 is a wasteful number, since it uses less digits than its factorization.

36421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36421680 is about 6035.0376966511. The cubic root of 36421680 is about 331.4769428578.

The spelling of 36421680 in words is "thirty-six million, four hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 5233 6960 10466 15699 20932 26165 31398 41864 52330 62796 78495 83728 104660 125592 151757 156990 209320 251184 303514 313980 418640 455271 607028 627960 758785 910542 1214056 1255920 1517570 1821084 2276355 2428112 3035140 3642168 4552710 6070280 7284336 9105420 12140560 18210840 36421680