Search a number
-
+
74954970 = 2345374161
BaseRepresentation
bin1000111011110…
…11100011011010
312020001002220000
410131323203122
5123142024340
611234313430
71600051416
oct435734332
9166032800
1074954970
1139345862
1221128876
13126b4c6c
149d51d46
1568a8d30
hex477b8da

74954970 has 160 divisors (see below), whose sum is σ = 215517456. Its totient is φ = 18662400.

The previous prime is 74954969. The next prime is 74954987. The reversal of 74954970 is 7945947.

74954970 is a `hidden beast` number, since 74 + 95 + 497 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9199089 + 65755881 = 3033^2 + 8109^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1228740 + ... + 1228800.

Almost surely, 274954970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74954970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

74954970 is an abundant number, since it is smaller than the sum of its proper divisors (140562486).

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

74954970 is a wasteful number, since it uses less digits than its factorization.

74954970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 74954970 is about 8657.6538392338. The cubic root of 74954970 is about 421.6319162587.

The spelling of 74954970 in words is "seventy-four million, nine hundred fifty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 41 45 54 61 74 81 82 90 111 122 123 135 162 183 185 205 222 246 270 305 333 366 369 370 405 410 549 555 610 615 666 738 810 915 999 1098 1107 1110 1230 1517 1647 1665 1830 1845 1998 2214 2257 2501 2745 2997 3034 3294 3321 3330 3690 4514 4551 4941 4995 5002 5490 5535 5994 6642 6771 7503 7585 8235 9102 9882 9990 11070 11285 12505 13542 13653 14985 15006 15170 16470 16605 20313 22509 22570 22755 24705 25010 27306 29970 33210 33855 37515 40626 40959 45018 45510 49410 60939 67527 67710 68265 75030 81918 92537 101565 112545 121878 122877 135054 136530 182817 185074 202581 203130 204795 225090 245754 277611 304695 337635 365634 405162 409590 462685 555222 609390 614385 675270 832833 914085 925370 1012905 1228770 1388055 1665666 1828170 2025810 2498499 2776110 4164165 4996998 7495497 8328330 12492495 14990994 24984990 37477485 74954970