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81520080 = 24353110957
BaseRepresentation
bin1001101101111…
…10010111010000
312200101122112020
410312332113100
5131332120310
612031131440
72006623605
oct466762720
9180348466
1081520080
114201a274
1223373b80
1313b73245
14ab806ac
157254170
hex4dbe5d0

81520080 has 80 divisors (see below), whose sum is σ = 260888064. Its totient is φ = 21035520.

The previous prime is 81520079. The next prime is 81520091. The reversal of 81520080 is 8002518.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 81520080.

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, 1962 + ... + 12918.

Almost surely, 281520080 is an apocalyptic number.

81520080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81520080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130444032).

81520080 is an abundant number, since it is smaller than the sum of its proper divisors (179367984).

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

81520080 is a wasteful number, since it uses less digits than its factorization.

81520080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 81520080 is about 9028.8471024821. The cubic root of 81520080 is about 433.5989272541.

Adding to 81520080 its reverse (8002518), we get a palindrome (89522598).

The spelling of 81520080 in words is "eighty-one million, five hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 10957 21914 32871 43828 54785 65742 87656 109570 131484 164355 175312 219140 262968 328710 339667 438280 525936 657420 679334 876560 1019001 1314840 1358668 1698335 2038002 2629680 2717336 3396670 4076004 5095005 5434672 6793340 8152008 10190010 13586680 16304016 20380020 27173360 40760040 81520080