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117129400 = 2352678741
BaseRepresentation
bin1101111101101…
…00000010111000
322011101210022221
412332310002320
5214441120100
615342253424
72621404063
oct676640270
9264353287
10117129400
1160131063
1233287274
131b36044b
14117ad8da
15a43a01a
hex6fb40b8

117129400 has 48 divisors (see below), whose sum is σ = 276422040. Its totient is φ = 46147200.

The previous prime is 117129373. The next prime is 117129427. The reversal of 117129400 is 4921711.

It is an interprime number because it is at equal distance from previous prime (117129373) and next prime (117129427).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9030 + ... + 17770.

Almost surely, 2117129400 is an apocalyptic number.

117129400 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 117129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138211020).

117129400 is an abundant number, since it is smaller than the sum of its proper divisors (159292640).

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

117129400 is a wasteful number, since it uses less digits than its factorization.

117129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 117129400 is about 10822.6336905580. The cubic root of 117129400 is about 489.2775693115.

It can be divided in two parts, 11712 and 9400, that added together give a palindrome (21112).

The spelling of 117129400 in words is "one hundred seventeen million, one hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 8741 13400 17482 34964 43705 69928 87410 174820 218525 349640 437050 585647 874100 1171294 1748200 2342588 2928235 4685176 5856470 11712940 14641175 23425880 29282350 58564700 117129400