Search a number
-
+
1960769424 = 243832232207
BaseRepresentation
bin111010011011110…
…1111011110010000
312001122112101222210
41310313233132100
513003424110144
6522322032120
766406156635
oct16467573620
95048471883
101960769424
119168920a9
124687a8640
132532bcac3
141485a618c
15b7213ab9
hex74def790

1960769424 has 80 divisors (see below), whose sum is σ = 5151670272. Its totient is φ = 642528384.

The previous prime is 1960769423. The next prime is 1960769471. The reversal of 1960769424 is 4249670691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1960769423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887329 + ... + 889535.

Almost surely, 21960769424 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 1960769424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575835136).

1960769424 is an abundant number, since it is smaller than the sum of its proper divisors (3190900848).

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

1960769424 is a wasteful number, since it uses less digits than its factorization.

1960769424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1960769424 is about 44280.5761480133. The cubic root of 1960769424 is about 1251.6286874335.

The spelling of 1960769424 in words is "one billion, nine hundred sixty million, seven hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 223 249 332 446 498 664 669 892 996 1328 1338 1784 1992 2207 2676 3568 3984 4414 5352 6621 8828 10704 13242 17656 18509 26484 35312 37018 52968 55527 74036 105936 111054 148072 183181 222108 296144 366362 444216 492161 549543 732724 888432 984322 1099086 1465448 1476483 1968644 2198172 2930896 2952966 3937288 4396344 5905932 7874576 8792688 11811864 23623728 40849363 81698726 122548089 163397452 245096178 326794904 490192356 653589808 980384712 1960769424