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88012540 = 22571167853
BaseRepresentation
bin1010011111011…
…11011011111100
320010121111111201
411033233123330
5140012400130
612422225244
72116044220
oct517573374
9203544451
1088012540
1145754140
1225585224
1315307435
14b990780
157ad7bca
hex53ef6fc

88012540 has 96 divisors (see below), whose sum is σ = 234146304. Its totient is φ = 26991360.

The previous prime is 88012501. The next prime is 88012567. The reversal of 88012540 is 4521088.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 88012499 and 88012508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102754 + ... + 103606.

It is an arithmetic number, because the mean of its divisors is an integer number (2439024).

Almost surely, 288012540 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 88012540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117073152).

88012540 is an abundant number, since it is smaller than the sum of its proper divisors (146133764).

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

88012540 is a wasteful number, since it uses less digits than its factorization.

88012540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 88012540 is about 9381.4998800831. The cubic root of 88012540 is about 444.8171449212.

The spelling of 88012540 in words is "eighty-eight million, twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 134 140 154 220 268 308 335 385 469 670 737 770 853 938 1340 1474 1540 1706 1876 2345 2948 3412 3685 4265 4690 5159 5971 7370 8530 9380 9383 10318 11942 14740 17060 18766 20636 23884 25795 29855 37532 46915 51590 57151 59710 65681 93830 103180 114302 119420 131362 187660 228604 262724 285755 328405 400057 571510 628661 656810 800114 1143020 1257322 1313620 1600228 2000285 2514644 3143305 4000570 4400627 6286610 8001140 8801254 12573220 17602508 22003135 44006270 88012540