Search a number
-
+
1964150328 = 2337313710193
BaseRepresentation
bin111010100010010…
…1000111000111000
312001212220011201110
41311010220320320
513010310302303
6522522320320
766450000540
oct16504507070
95055804643
101964150328
11918791238
124699590a0
13253c0493a
14148c06320
15b7680703
hex75128e38

1964150328 has 128 divisors (see below), whose sum is σ = 5950033920. Its totient is φ = 528353280.

The previous prime is 1964150317. The next prime is 1964150329. The reversal of 1964150328 is 8230514691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964150329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187600 + ... + 197792.

It is an arithmetic number, because the mean of its divisors is an integer number (46484640).

Almost surely, 21964150328 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 1964150328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975016960).

1964150328 is an abundant number, since it is smaller than the sum of its proper divisors (3985883592).

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

1964150328 is a wasteful number, since it uses less digits than its factorization.

1964150328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10277 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1964150328 is about 44318.7356317844. The cubic root of 1964150328 is about 1252.3476580145.

The spelling of 1964150328 in words is "one billion, nine hundred sixty-four million, one hundred fifty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 111 124 148 168 186 217 222 248 259 296 372 434 444 518 651 744 777 868 888 1036 1147 1302 1554 1736 2072 2294 2604 3108 3441 4588 5208 6216 6882 8029 9176 10193 13764 16058 20386 24087 27528 30579 32116 40772 48174 61158 64232 71351 81544 96348 122316 142702 192696 214053 244632 285404 315983 377141 428106 570808 631966 754282 856212 947949 1131423 1263932 1508564 1712424 1895898 2211881 2262846 2527864 2639987 3017128 3791796 4423762 4525692 5279974 6635643 7583592 7919961 8847524 9051384 10559948 11691371 13271286 15839922 17695048 21119896 23382742 26542572 31679844 35074113 46765484 53085144 63359688 70148226 81839597 93530968 140296452 163679194 245518791 280592904 327358388 491037582 654716776 982075164 1964150328