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3973397720 = 235316075279
BaseRepresentation
bin1110110011010101…
…0011110011011000
3101020220122111222112
43230311103303120
531114142211340
61454135411452
7200315215625
oct35465236330
911226574875
103973397720
111759974576
1292a823b88
134b4269116
142999cb34c
15183c6d065
hexecd53cd8

3973397720 has 64 divisors (see below), whose sum is σ = 9245491200. Its totient is φ = 1535264640.

The previous prime is 3973397713. The next prime is 3973397749. The reversal of 3973397720 is 277933793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750041 + ... + 755319.

It is an arithmetic number, because the mean of its divisors is an integer number (144460800).

Almost surely, 23973397720 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 3973397720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622745600).

3973397720 is an abundant number, since it is smaller than the sum of its proper divisors (5272093480).

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

3973397720 is a wasteful number, since it uses less digits than its factorization.

3973397720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 50.

The square root of 3973397720 is about 63034.8928768821. The cubic root of 3973397720 is about 1583.8741812028.

The spelling of 3973397720 in words is "three billion, nine hundred seventy-three million, three hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 607 620 1214 1240 2428 3035 4856 5279 6070 10558 12140 18817 21116 24280 26395 37634 42232 52790 75268 94085 105580 150536 163649 188170 211160 327298 376340 654596 752680 818245 1309192 1636490 3204353 3272980 6408706 6545960 12817412 16021765 25634824 32043530 64087060 99334943 128174120 198669886 397339772 496674715 794679544 993349430 1986698860 3973397720