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3970178640 = 2432517324361
BaseRepresentation
bin1110110010100100…
…0001111001010000
3101020200120222020100
43230221001321100
531112331204030
61453542412400
7200245650561
oct35451017120
911220528210
103970178640
111758075a7a
12929731100
134b36acb3c
142993d0168
15183834360
hexeca41e50

3970178640 has 120 divisors (see below), whose sum is σ = 14117531688. Its totient is φ = 996433920.

The previous prime is 3970178579. The next prime is 3970178659. The reversal of 3970178640 is 468710793.

It can be written as a sum of positive squares in 4 ways, for example, as 1045099584 + 2925079056 = 32328^2 + 54084^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 149941 + ... + 174420.

Almost surely, 23970178640 is an apocalyptic number.

3970178640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3970178640 is an abundant number, since it is smaller than the sum of its proper divisors (10147353048).

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

3970178640 is a wasteful number, since it uses less digits than its factorization.

3970178640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324397 (or 324388 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3970178640 is about 63009.3535913518. The cubic root of 3970178640 is about 1583.4463361884.

It can be divided in two parts, 39701 and 78640, that added together give a triangular number (118341 = T486).

The spelling of 3970178640 in words is "three billion, nine hundred seventy million, one hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 324361 648722 973083 1297444 1621805 1946166 2594888 2919249 3243610 3892332 4865415 5189776 5514137 5838498 6487220 7784664 9730830 11028274 11676996 12974440 14596245 15569328 16542411 19461660 22056548 23353992 25948880 27570685 29192490 33084822 38923320 44113096 46707984 49627233 55141370 58384980 66169644 77846640 82712055 88226192 99254466 110282740 116769960 132339288 165424110 198508932 220565480 233539920 248136165 264678576 330848220 397017864 441130960 496272330 661696440 794035728 992544660 1323392880 1985089320 3970178640