Search a number
-
+
94768080 = 24351135897
BaseRepresentation
bin1011010011000…
…00101111010000
320121022201100220
411221200233100
5143230034310
613223113040
72230341531
oct551405720
9217281326
1094768080
1149548730
12278a2780
13168312b4
14c82c688
1584be670
hex5a60bd0

94768080 has 80 divisors (see below), whose sum is σ = 320497344. Its totient is φ = 22973440.

The previous prime is 94768057. The next prime is 94768103. The reversal of 94768080 is 8086749.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (94768057) and next prime (94768103).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×947680803 (a number of 25 digits) contains 333 as substring.

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, 15309 + ... + 20588.

Almost surely, 294768080 is an apocalyptic number.

It is an amenable number.

94768080 is an abundant number, since it is smaller than the sum of its proper divisors (225729264).

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

94768080 is a wasteful number, since it uses less digits than its factorization.

94768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35924 (or 35918 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 94768080 is about 9734.8898298851. The cubic root of 94768080 is about 455.9186527713.

The spelling of 94768080 in words is "ninety-four million, seven hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 35897 71794 107691 143588 179485 215382 287176 358970 394867 430764 538455 574352 717940 789734 861528 1076910 1184601 1435880 1579468 1723056 1974335 2153820 2369202 2871760 3158936 3948670 4307640 4738404 5923005 6317872 7897340 8615280 9476808 11846010 15794680 18953616 23692020 31589360 47384040 94768080