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4072602680 = 235312531999
BaseRepresentation
bin1111001010111110…
…1111110000111000
3101111211022122121022
43302233233300320
531320041241210
61512042002012
7202631360126
oct36257576070
911454278538
104072602680
1117aa972743
12957aa6308
134cb991a93
142a8c52916
1518c817155
hexf2befc38

4072602680 has 96 divisors (see below), whose sum is σ = 9651960000. Its totient is φ = 1545972480.

The previous prime is 4072602673. The next prime is 4072602697. The reversal of 4072602680 is 862062704.

It is a self number, because there is not a number n which added to its sum of digits gives 4072602680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036321 + ... + 2038319.

It is an arithmetic number, because the mean of its divisors is an integer number (100541250).

Almost surely, 24072602680 is an apocalyptic number.

4072602680 is a gapful number since it is divisible by the number (40) 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 4072602680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825980000).

4072602680 is an abundant number, since it is smaller than the sum of its proper divisors (5579357320).

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

4072602680 is a wasteful number, since it uses less digits than its factorization.

4072602680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4072602680 is about 63816.9466521237. The cubic root of 4072602680 is about 1596.9476546536.

The spelling of 4072602680 in words is "four billion, seventy-two million, six hundred two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 53 62 106 124 155 212 248 265 310 424 530 620 961 1060 1240 1643 1922 1999 2120 3286 3844 3998 4805 6572 7688 7996 8215 9610 9995 13144 15992 16430 19220 19990 32860 38440 39980 50933 61969 65720 79960 101866 105947 123938 203732 211894 247876 254665 309845 407464 423788 495752 509330 529735 619690 847576 1018660 1059470 1239380 1921039 2037320 2118940 2478760 3284357 3842078 4237880 6568714 7684156 9605195 13137428 15368312 16421785 19210390 26274856 32843570 38420780 65687140 76841560 101815067 131374280 203630134 407260268 509075335 814520536 1018150670 2036301340 4072602680