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2155780480 = 2757268743
BaseRepresentation
bin1000000001111110…
…1001100110000000
312120020110222212111
42000133221212000
513403334433410
6553525505104
7104264555200
oct20037514600
95506428774
102155780480
11a06977867
12501b72194
1328481b369
1416644a400
15c93d4b8a
hex807e9980

2155780480 has 96 divisors (see below), whose sum is σ = 5995164240. Its totient is φ = 739113984.

The previous prime is 2155780463. The next prime is 2155780481. The reversal of 2155780480 is 840875512.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155780481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3012 + ... + 65731.

Almost surely, 22155780480 is an apocalyptic number.

2155780480 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 2155780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997582120).

2155780480 is an abundant number, since it is smaller than the sum of its proper divisors (3839383760).

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

2155780480 is an equidigital number, since it uses as much as digits as its factorization.

2155780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68776 (or 68757 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 2155780480 is about 46430.3831558603. The cubic root of 2155780480 is about 1291.8185356684.

The spelling of 2155780480 in words is "two billion, one hundred fifty-five million, seven hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 68743 137486 274972 343715 481201 549944 687430 962402 1099888 1374860 1924804 2199776 2406005 2749720 3368407 3849608 4399552 4812010 5499440 6736814 7699216 8799104 9624020 10998880 13473628 15398432 16842035 19248040 21997760 26947256 30796864 33684070 38496080 43995520 53894512 61593728 67368140 76992160 107789024 134736280 153984320 215578048 269472560 307968640 431156096 538945120 1077890240 2155780480