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80622640 = 24572131157
BaseRepresentation
bin1001100111000…
…11010000110000
312121201001110201
410303203100300
5131114411030
612000004544
71666165300
oct463432060
9177631421
1080622640
1141566a8a
1223000754
131391a907
14a9c9600
1571282ca
hex4ce3430

80622640 has 120 divisors (see below), whose sum is σ = 221115312. Its totient is φ = 27256320.

The previous prime is 80622637. The next prime is 80622677. The reversal of 80622640 is 4622608.

80622640 = T1 + T2 + ... + T784.

80622640 is a nontrivial binomial coefficient, being equal to C(786, 3).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 80622599 and 80622608.

It is an unprimeable number.

It is the 784-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513442 + ... + 513598.

Almost surely, 280622640 is an apocalyptic number.

80622640 is a gapful number since it is divisible by the number (80) 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 80622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110557656).

80622640 is an abundant number, since it is smaller than the sum of its proper divisors (140492672).

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

80622640 is a wasteful number, since it uses less digits than its factorization.

80622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 80622640 is about 8979.0110814053. The cubic root of 80622640 is about 432.0019147149.

The spelling of 80622640 in words is "eighty million, six hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 131 140 157 196 245 262 280 314 392 490 524 560 628 655 784 785 917 980 1048 1099 1256 1310 1570 1834 1960 2096 2198 2512 2620 3140 3668 3920 4396 4585 5240 5495 6280 6419 7336 7693 8792 9170 10480 10990 12560 12838 14672 15386 17584 18340 20567 21980 25676 30772 32095 36680 38465 41134 43960 51352 61544 64190 73360 76930 82268 87920 102704 102835 123088 128380 143969 153860 164536 205670 256760 287938 307720 329072 411340 513520 575876 615440 719845 822680 1007783 1151752 1439690 1645360 2015566 2303504 2879380 4031132 5038915 5758760 8062264 10077830 11517520 16124528 20155660 40311320 80622640