Search a number
-
+
3196960 = 255132953
BaseRepresentation
bin1100001100100000100000
320000102101221
430030200200
51304300320
6152304424
736113404
oct14144040
96012357
103196960
111893a18
1210a2114
1387c1c0
145d3104
154323aa
hex30c820

3196960 has 96 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1118208.

The previous prime is 3196957. The next prime is 3196979. The reversal of 3196960 is 696913.

It can be written as a sum of positive squares in 8 ways, for example, as 1157776 + 2039184 = 1076^2 + 1428^2 .

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, 60294 + ... + 60346.

Almost surely, 23196960 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 3196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3196960 is an abundant number, since it is smaller than the sum of its proper divisors (5376080).

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

3196960 is a wasteful number, since it uses less digits than its factorization.

3196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 3196960 is about 1788.0044742673. The cubic root of 3196960 is about 147.3145807618.

The spelling of 3196960 in words is "three million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 53 58 65 80 104 106 116 130 145 160 208 212 232 260 265 290 377 416 424 464 520 530 580 689 754 848 928 1040 1060 1160 1378 1508 1537 1696 1885 2080 2120 2320 2756 3016 3074 3445 3770 4240 4640 5512 6032 6148 6890 7540 7685 8480 11024 12064 12296 13780 15080 15370 19981 22048 24592 27560 30160 30740 39962 49184 55120 60320 61480 79924 99905 110240 122960 159848 199810 245920 319696 399620 639392 799240 1598480 3196960