Search a number
-
+
76749420 = 2235111031129
BaseRepresentation
bin1001001001100…
…01101001101100
312100102021102010
410210301221230
5124121440140
611341001220
71621234146
oct444615154
9170367363
1076749420
113a360a80
1221853210
1312b92977
14a29bc96
156b10880
hex4931a6c

76749420 has 96 divisors (see below), whose sum is σ = 236920320. Its totient is φ = 18408960.

The previous prime is 76749419. The next prime is 76749443. The reversal of 76749420 is 2494767.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67416 + ... + 68544.

It is an arithmetic number, because the mean of its divisors is an integer number (2467920).

Almost surely, 276749420 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 76749420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118460160).

76749420 is an abundant number, since it is smaller than the sum of its proper divisors (160170900).

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

76749420 is a wasteful number, since it uses less digits than its factorization.

76749420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 76749420 is about 8760.6746315566. The cubic root of 76749420 is about 424.9700924744.

The spelling of 76749420 in words is "seventy-six million, seven hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1129 1133 1236 1545 2060 2258 2266 3090 3387 3399 4516 4532 5645 5665 6180 6774 6798 11290 11330 12419 13548 13596 16935 16995 22580 22660 24838 33870 33990 37257 49676 62095 67740 67980 74514 116287 124190 149028 186285 232574 248380 348861 372570 465148 581435 697722 745140 1162870 1279157 1395444 1744305 2325740 2558314 3488610 3837471 5116628 6395785 6977220 7674942 12791570 15349884 19187355 25583140 38374710 76749420