Search a number
-
+
70241040 = 24335311049
BaseRepresentation
bin1000010111111…
…00101100010000
311220011121121000
410023330230100
5120440203130
610545302000
71512016242
oct413745420
9156147530
1070241040
1136716151
121b634900
131172445c
149486092
156277260
hex42fcb10

70241040 has 160 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 18109440.

The previous prime is 70241029. The next prime is 70241047. The reversal of 70241040 is 4014207.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70241047) 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, 66436 + ... + 67484.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 270241040 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 70241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

70241040 is an abundant number, since it is smaller than the sum of its proper divisors (179742960).

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

70241040 is a wasteful number, since it uses less digits than its factorization.

70241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 70241040 is about 8380.9927812879. The cubic root of 70241040 is about 412.6010331033.

Adding to 70241040 its reverse (4014207), we get a palindrome (74255247).

The spelling of 70241040 in words is "seventy million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1049 1080 1116 1240 1395 1488 1674 1860 2098 2160 2232 2480 2790 3147 3348 3720 4185 4196 4464 5245 5580 6294 6696 7440 8370 8392 9441 10490 11160 12588 13392 15735 16740 16784 18882 20980 22320 25176 28323 31470 32519 33480 37764 41960 47205 50352 56646 62940 65038 66960 75528 83920 94410 97557 113292 125880 130076 141615 151056 162595 188820 195114 226584 251760 260152 283230 292671 325190 377640 390228 453168 487785 520304 566460 585342 650380 755280 780456 878013 975570 1132920 1170684 1300760 1463355 1560912 1756026 1951140 2265840 2341368 2601520 2926710 3512052 3902280 4390065 4682736 5853420 7024104 7804560 8780130 11706840 14048208 17560260 23413680 35120520 70241040