Search a number
-
+
71411136 = 26323103157
BaseRepresentation
bin1000100000110…
…10010111000000
311222101001122220
410100122113000
5121240124021
611030331040
71524661506
oct420322700
9158331586
1071411136
1137345275
121bab9a80
1311a43c14
1496ac676
156408cc6
hex441a5c0

71411136 has 112 divisors (see below), whose sum is σ = 200338944. Its totient is φ = 22404096.

The previous prime is 71411129. The next prime is 71411143. The reversal of 71411136 is 63111417.

It is an interprime number because it is at equal distance from previous prime (71411129) and next prime (71411143).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454770 + ... + 454926.

Almost surely, 271411136 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 71411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100169472).

71411136 is an abundant number, since it is smaller than the sum of its proper divisors (128927808).

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

71411136 is a wasteful number, since it uses less digits than its factorization.

71411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 71411136 is about 8450.5109904668. The cubic root of 71411136 is about 414.8795043796.

The spelling of 71411136 in words is "seventy-one million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 103 138 157 184 192 206 276 309 314 368 412 471 552 618 628 736 824 942 1104 1236 1256 1472 1648 1884 2208 2369 2472 2512 3296 3611 3768 4416 4738 4944 5024 6592 7107 7222 7536 9476 9888 10048 10833 14214 14444 15072 16171 18952 19776 21666 28428 28888 30144 32342 37904 43332 48513 56856 57776 64684 75808 86664 97026 113712 115552 129368 151616 173328 194052 227424 231104 258736 346656 371933 388104 454848 517472 693312 743866 776208 1034944 1115799 1487732 1552416 2231598 2975464 3104832 4463196 5950928 8926392 11901856 17852784 23803712 35705568 71411136