Search a number
-
+
1961620560 = 243257934487
BaseRepresentation
bin111010011101011…
…1111010001010000
312001201010122112100
41310322333101100
513004133324220
6522352200400
766416333244
oct16472772120
95051118470
101961620560
11917313619
12468b39100
1325352a333
14148748424
15b7330d90
hex74ebf450

1961620560 has 120 divisors (see below), whose sum is σ = 6671358720. Its totient is φ = 516462336.

The previous prime is 1961620547. The next prime is 1961620567. The reversal of 1961620560 is 650261691.

1961620560 is a `hidden beast` number, since 1 + 96 + 1 + 6 + 2 + 0 + 560 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961620567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39637 + ... + 74123.

It is an arithmetic number, because the mean of its divisors is an integer number (55594656).

Almost surely, 21961620560 is an apocalyptic number.

1961620560 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 1961620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335679360).

1961620560 is an abundant number, since it is smaller than the sum of its proper divisors (4709738160).

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

1961620560 is a wasteful number, since it uses less digits than its factorization.

1961620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34585 (or 34576 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1961620560 is about 44290.1858203372. The cubic root of 1961620560 is about 1251.8097646703.

It can be divided in two parts, 1961 and 620560, that added together give a square (622521 = 7892).

The spelling of 1961620560 in words is "one billion, nine hundred sixty-one million, six hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 34487 56880 68974 103461 137948 172435 206922 275896 310383 344870 413844 517305 551792 620766 689740 827688 1034610 1241532 1379480 1551915 1655376 2069220 2483064 2724473 2758960 3103830 4138440 4966128 5448946 6207660 8173419 8276880 10897892 12415320 13622365 16346838 21795784 24520257 24830640 27244730 32693676 40867095 43591568 49040514 54489460 65387352 81734190 98081028 108978920 122601285 130774704 163468380 196162056 217957840 245202570 326936760 392324112 490405140 653873520 980810280 1961620560