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114422640 = 2435491971
BaseRepresentation
bin1101101000111…
…11001101110000
321222022021100120
412310133031300
5213243011030
615204250240
72556401463
oct664371560
9258267316
10114422640
1159652472
12323a0980
131a923407
14112a72da
15a0a3010
hex6d1f370

114422640 has 80 divisors (see below), whose sum is σ = 355798656. Its totient is φ = 30419200.

The previous prime is 114422593. The next prime is 114422663. The reversal of 114422640 is 46224411.

It is a happy number.

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 114422640.

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, 117355 + ... + 118325.

Almost surely, 2114422640 is an apocalyptic number.

114422640 is a gapful number since it is divisible by the number (10) 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 114422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177899328).

114422640 is an abundant number, since it is smaller than the sum of its proper divisors (241376016).

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

114422640 is a wasteful number, since it uses less digits than its factorization.

114422640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 114422640 is about 10696.8518733317. The cubic root of 114422640 is about 485.4792301448.

The spelling of 114422640 in words is "one hundred fourteen million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 491 971 982 1473 1942 1964 2455 2913 2946 3884 3928 4855 4910 5826 5892 7365 7768 7856 9710 9820 11652 11784 14565 14730 15536 19420 19640 23304 23568 29130 29460 38840 39280 46608 58260 58920 77680 116520 117840 233040 476761 953522 1430283 1907044 2383805 2860566 3814088 4767610 5721132 7151415 7628176 9535220 11442264 14302830 19070440 22884528 28605660 38140880 57211320 114422640