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71220640 = 2553183173
BaseRepresentation
bin1000011111010…
…11110110100000
311222000101100111
410033223312200
5121213030030
611022301104
71523236231
oct417536640
9158011314
1071220640
1137225137
121ba27794
13119a82ba
14965d088
1563bc62a
hex43ebda0

71220640 has 96 divisors (see below), whose sum is σ = 176795136. Its totient is φ = 27079680.

The previous prime is 71220637. The next prime is 71220641. The reversal of 71220640 is 4602217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71220641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411594 + ... + 411766.

It is an arithmetic number, because the mean of its divisors is an integer number (1841616).

Almost surely, 271220640 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 71220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88397568).

71220640 is an abundant number, since it is smaller than the sum of its proper divisors (105574496).

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

71220640 is a wasteful number, since it uses less digits than its factorization.

71220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 71220640 is about 8439.2321925635. The cubic root of 71220640 is about 414.5102656738.

Adding to 71220640 its reverse (4602217), we get a palindrome (75822857).

The spelling of 71220640 in words is "seventy-one million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 83 124 155 160 166 173 248 310 332 346 415 496 620 664 692 830 865 992 1240 1328 1384 1660 1730 2480 2573 2656 2768 3320 3460 4960 5146 5363 5536 6640 6920 10292 10726 12865 13280 13840 14359 20584 21452 25730 26815 27680 28718 41168 42904 51460 53630 57436 71795 82336 85808 102920 107260 114872 143590 171616 205840 214520 229744 287180 411680 429040 445129 459488 574360 858080 890258 1148720 1780516 2225645 2297440 3561032 4451290 7122064 8902580 14244128 17805160 35610320 71220640