Search a number
-
+
120887430 = 23567137439
BaseRepresentation
bin1110011010010…
…01100010000110
322102110201101020
413031021202012
5221421344210
615555012010
72665345326
oct715114206
9272421336
10120887430
1162268574
123459a006
131c077b31
14120ab286
15a92d770
hex7349886

120887430 has 64 divisors (see below), whose sum is σ = 297285120. Its totient is φ = 31451904.

The previous prime is 120887419. The next prime is 120887441. The reversal of 120887430 is 34788021.

It is an interprime number because it is at equal distance from previous prime (120887419) and next prime (120887441).

It is a super-2 number, since 2×1208874302 = 29227541464009800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120887391 and 120887400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275151 + ... + 275589.

It is an arithmetic number, because the mean of its divisors is an integer number (4645080).

Almost surely, 2120887430 is an apocalyptic number.

120887430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120887430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148642560).

120887430 is an abundant number, since it is smaller than the sum of its proper divisors (176397690).

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

120887430 is a wasteful number, since it uses less digits than its factorization.

120887430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 120887430 is about 10994.8819911812. The cubic root of 120887430 is about 494.4553135215.

The spelling of 120887430 in words is "one hundred twenty million, eight hundred eighty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 137 201 274 335 402 411 439 670 685 822 878 1005 1317 1370 2010 2055 2195 2634 4110 4390 6585 9179 13170 18358 27537 29413 45895 55074 58826 60143 88239 91790 120286 137685 147065 176478 180429 275370 294130 300715 360858 441195 601430 882390 902145 1804290 4029581 8059162 12088743 20147905 24177486 40295810 60443715 120887430