Search a number
-
+
70727040 = 273354093
BaseRepresentation
bin1000011011100…
…11010110000000
311221002022021000
410031303112000
5121101231130
611003532000
71516112166
oct415632600
9157068230
1070727040
1136a182aa
121b82a000
1311864727
149571236
156321260
hex4373580

70727040 has 128 divisors (see below), whose sum is σ = 250552800. Its totient is φ = 18855936.

The previous prime is 70727029. The next prime is 70727051. The reversal of 70727040 is 4072707.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70727029) and next prime (70727051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 70726995 and 70727013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15234 + ... + 19326.

Almost surely, 270727040 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 70727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125276400).

70727040 is an abundant number, since it is smaller than the sum of its proper divisors (179825760).

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

70727040 is a wasteful number, since it uses less digits than its factorization.

70727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 70727040 is about 8409.9369795498. The cubic root of 70727040 is about 413.5504466944.

Adding to 70727040 its reverse (4072707), we get a palindrome (74799747).

The spelling of 70727040 in words is "seventy million, seven hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4093 4320 5760 8186 8640 12279 16372 17280 20465 24558 32744 36837 40930 49116 61395 65488 73674 81860 98232 110511 122790 130976 147348 163720 184185 196464 221022 245580 261952 294696 327440 368370 392928 442044 491160 523904 552555 589392 654880 736740 785856 884088 982320 1105110 1178784 1309760 1473480 1571712 1768176 1964640 2210220 2357568 2619520 2946960 3536352 3929280 4420440 4715136 5893920 7072704 7858560 8840880 11787840 14145408 17681760 23575680 35363520 70727040