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117207552 = 293711991
BaseRepresentation
bin1101111110001…
…11001000000000
322011112202112110
412333013020000
5220001120202
615344055320
72622150660
oct677071000
9264482473
10117207552
1160184850
1233304540
131b389ba7
14117d01a0
15a45326c
hex6fc7200

117207552 has 160 divisors (see below), whose sum is σ = 389689344. Its totient is φ = 30412800.

The previous prime is 117207547. The next prime is 117207553. The reversal of 117207552 is 255702711.

It is a super-2 number, since 2×1172075522 = 27475220491665408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117207553) 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, 117777 + ... + 118767.

Almost surely, 2117207552 is an apocalyptic number.

117207552 is a gapful number since it is divisible by the number (12) 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 117207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194844672).

117207552 is an abundant number, since it is smaller than the sum of its proper divisors (272481792).

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

117207552 is an equidigital number, since it uses as much as digits as its factorization.

117207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 117207552 is about 10826.2436698977. The cubic root of 117207552 is about 489.3863649946.

The spelling of 117207552 in words is "one hundred seventeen million, two hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 991 1056 1232 1344 1408 1536 1792 1848 1982 2112 2464 2688 2816 2973 3584 3696 3964 4224 4928 5376 5632 5946 6937 7392 7928 8448 9856 10752 10901 11892 13874 14784 15856 16896 19712 20811 21802 23784 27748 29568 31712 32703 39424 41622 43604 47568 55496 59136 63424 65406 76307 83244 87208 95136 110992 118272 126848 130812 152614 166488 174416 190272 221984 228921 253696 261624 305228 332976 348832 380544 443968 457842 507392 523248 610456 665952 697664 761088 887936 915684 1046496 1220912 1331904 1395328 1522176 1775872 1831368 2092992 2441824 2663808 2790656 3551744 3662736 4185984 4883648 5327616 5581312 7325472 8371968 9767296 10655232 14650944 16743936 19534592 29301888 39069184 58603776 117207552