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114274784 = 2513537173
BaseRepresentation
bin1101100111110…
…11000111100000
321222000202112102
412303323013200
5213223243114
615201145532
72555214431
oct663730740
9258022472
10114274784
1159561378
123232b2a8
131a8a1020
1411269488
15a0742de
hex6cfb1e0

114274784 has 96 divisors (see below), whose sum is σ = 253761984. Its totient is φ = 50319360.

The previous prime is 114274747. The next prime is 114274807. The reversal of 114274784 is 487472411.

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, 1565372 + ... + 1565444.

It is an arithmetic number, because the mean of its divisors is an integer number (2643354).

Almost surely, 2114274784 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 114274784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880992).

114274784 is an abundant number, since it is smaller than the sum of its proper divisors (139487200).

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

114274784 is a wasteful number, since it uses less digits than its factorization.

114274784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

The square root of 114274784 is about 10689.9384469697. The cubic root of 114274784 is about 485.2700292455.

The spelling of 114274784 in words is "one hundred fourteen million, two hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 71 73 104 106 142 146 208 212 284 292 416 424 568 584 689 848 923 949 1136 1168 1378 1696 1846 1898 2272 2336 2756 3692 3763 3796 3869 5183 5512 7384 7526 7592 7738 10366 11024 14768 15052 15184 15476 20732 22048 29536 30104 30368 30952 41464 48919 50297 60208 61904 67379 82928 97838 100594 120416 123808 134758 165856 195676 201188 269516 274699 391352 402376 539032 549398 782704 804752 1078064 1098796 1565408 1609504 2156128 2197592 3571087 4395184 7142174 8790368 14284348 28568696 57137392 114274784