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116426240 = 29577389
BaseRepresentation
bin1101111000010…
…00011000000000
322010002001202222
412330020120000
5214301114430
615315230212
72612415050
oct674103000
9263061688
10116426240
115a7a0837
1232ba8368
131b175388
1411669560
15a34b9e5
hex6f08600

116426240 has 160 divisors (see below), whose sum is σ = 327032640. Its totient is φ = 38928384.

The previous prime is 116426209. The next prime is 116426249. The reversal of 116426240 is 42624611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116426249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308116 + ... + 1308204.

It is an arithmetic number, because the mean of its divisors is an integer number (2043954).

Almost surely, 2116426240 is an apocalyptic number.

116426240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116426240 is the 6230-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163516320).

116426240 is an abundant number, since it is smaller than the sum of its proper divisors (210606400).

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

116426240 is an frugal number, since it uses more digits than its factorization.

116426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 116426240 is about 10790.0991654387. The cubic root of 116426240 is about 488.2965142351.

The spelling of 116426240 in words is "one hundred sixteen million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 89 112 128 140 146 160 178 224 256 280 292 320 356 365 445 448 511 512 560 584 623 640 712 730 890 896 1022 1120 1168 1246 1280 1424 1460 1780 1792 2044 2240 2336 2492 2555 2560 2848 2920 3115 3560 3584 4088 4480 4672 4984 5110 5696 5840 6230 6497 7120 8176 8960 9344 9968 10220 11392 11680 12460 12994 14240 16352 17920 18688 19936 20440 22784 23360 24920 25988 28480 32485 32704 37376 39872 40880 45479 45568 46720 49840 51976 56960 64970 65408 79744 81760 90958 93440 99680 103952 113920 129940 130816 159488 163520 181916 186880 199360 207904 227395 227840 259880 261632 318976 327040 363832 398720 415808 454790 519760 654080 727664 797440 831616 909580 1039520 1308160 1455328 1594880 1663232 1819160 2079040 2910656 3326464 3638320 4158080 5821312 7276640 8316160 11642624 14553280 16632320 23285248 29106560 58213120 116426240