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3680227540 = 22511131277461
BaseRepresentation
bin1101101101011011…
…1101000011010100
3100111110222221002201
43123112331003110
530014114240130
61405104014244
7160125263233
oct33326750324
910443887081
103680227540
111619435470
12868601384
134685bcc42
1426cab4b1a
1516815cbca
hexdb5bd0d4

3680227540 has 96 divisors (see below), whose sum is σ = 8544590208. Its totient is φ = 1320384000.

The previous prime is 3680227531. The next prime is 3680227547. The reversal of 3680227540 is 457220863.

It is a self number, because there is not a number n which added to its sum of digits gives 3680227540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680227547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7982910 + ... + 7983370.

It is an arithmetic number, because the mean of its divisors is an integer number (89006148).

Almost surely, 23680227540 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 3680227540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272295104).

3680227540 is an abundant number, since it is smaller than the sum of its proper divisors (4864362668).

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

3680227540 is a wasteful number, since it uses less digits than its factorization.

3680227540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 3680227540 is about 60664.8789663344. The cubic root of 3680227540 is about 1543.9203455422.

The spelling of 3680227540 in words is "three billion, six hundred eighty million, two hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 277 461 524 554 655 922 1108 1310 1385 1441 1844 2305 2620 2770 2882 3047 4610 5071 5540 5764 6094 7205 9220 10142 12188 14410 15235 20284 25355 28820 30470 36287 50710 60391 60940 72574 101420 120782 127697 145148 181435 241564 255394 301955 362870 399157 510788 603910 638485 664301 725740 798314 1207820 1276970 1328602 1404667 1596628 1995785 2553940 2657204 2809334 3321505 3991570 5618668 6643010 7023335 7983140 13286020 14046670 16728307 28093340 33456614 66913228 83641535 167283070 184011377 334566140 368022754 736045508 920056885 1840113770 3680227540