Search a number
-
+
197973440 = 2657312851
BaseRepresentation
bin10111100110011…
…01010111000000
3111210112002111122
423303031113000
5401140122230
631351131412
74622514020
oct1363152700
9453462448
10197973440
11a1829415
1256373b68
1332027a62
141c415a80
15125a8be5
hexbccd5c0

197973440 has 112 divisors (see below), whose sum is σ = 556345344. Its totient is φ = 65664000.

The previous prime is 197973437. The next prime is 197973511. The reversal of 197973440 is 44379791.

It is a happy number.

197973440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 197973391 and 197973400.

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, 68015 + ... + 70865.

Almost surely, 2197973440 is an apocalyptic number.

197973440 is a gapful number since it is divisible by the number (10) 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 197973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278172672).

197973440 is an abundant number, since it is smaller than the sum of its proper divisors (358371904).

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

197973440 is a wasteful number, since it uses less digits than its factorization.

197973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 197973440 is about 14070.3034793142. The cubic root of 197973440 is about 582.8216058229.

The spelling of 197973440 in words is "one hundred ninety-seven million, nine hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 2851 3472 4340 4960 5702 6944 8680 9920 11404 13888 14255 17360 19957 22808 28510 34720 39914 45616 57020 69440 79828 88381 91232 99785 114040 159656 176762 182464 199570 228080 319312 353524 399140 441905 456160 618667 638624 707048 798280 883810 912320 1237334 1277248 1414096 1596560 1767620 2474668 2828192 3093335 3193120 3535240 4949336 5656384 6186670 6386240 7070480 9898672 12373340 14140960 19797344 24746680 28281920 39594688 49493360 98986720 197973440