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3215455040 = 26572949499
BaseRepresentation
bin1011111110100111…
…1111001101000000
322022002110001002102
42333221333031000
523041124030130
61251022205532
7142452626330
oct27751771500
98262401072
103215455040
111400049a66
12758a238a8
133c3220325
1422708d0c0
1513c452645
hexbfa7f340

3215455040 has 112 divisors (see below), whose sum is σ = 9052560000. Its totient is φ = 1064404992.

The previous prime is 3215455031. The next prime is 3215455043. The reversal of 3215455040 is 405545123.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×32154550402 = 20678302228522803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 3215454994 and 3215455012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215455043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40211 + ... + 89709.

Almost surely, 23215455040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3215455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526280000).

3215455040 is an abundant number, since it is smaller than the sum of its proper divisors (5837104960).

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

3215455040 is a wasteful number, since it uses less digits than its factorization.

3215455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49552 (or 49542 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 3215455040 is about 56704.9824971316. The cubic root of 3215455040 is about 1475.9811593182.

The spelling of 3215455040 in words is "three billion, two hundred fifteen million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 4060 4640 6496 8120 9280 12992 16240 32480 49499 64960 98998 197996 247495 346493 395992 494990 692986 791984 989980 1385972 1435471 1583968 1732465 1979960 2771944 2870942 3167936 3464930 3959920 5543888 5741884 6929860 7177355 7919840 10048297 11087776 11483768 13859720 14354710 15839680 20096594 22175552 22967536 27719440 28709420 40193188 45935072 50241485 55438880 57418840 80386376 91870144 100482970 110877760 114837680 160772752 200965940 229675360 321545504 401931880 459350720 643091008 803863760 1607727520 3215455040