Search a number
-
+
130114470 = 23519535973
BaseRepresentation
bin1111100000101…
…10001110100110
3100001211111111110
413300112032212
5231302130340
620524445450
73136645323
oct760261646
9301744443
10130114470
116749aa22
12376a9886
1320c58915
14133cdb4a
15b652680
hex7c163a6

130114470 has 128 divisors (see below), whose sum is σ = 345254400. Its totient is φ = 31269888.

The previous prime is 130114463. The next prime is 130114477. The reversal of 130114470 is 74411031.

It is an interprime number because it is at equal distance from previous prime (130114463) and next prime (130114477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130114477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782354 + ... + 1782426.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 2130114470 is an apocalyptic number.

130114470 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 130114470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172627200).

130114470 is an abundant number, since it is smaller than the sum of its proper divisors (215139930).

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

130114470 is a wasteful number, since it uses less digits than its factorization.

130114470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 130114470 is about 11406.7729880102. The cubic root of 130114470 is about 506.7283459268.

The spelling of 130114470 in words is "one hundred thirty million, one hundred fourteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 59 73 95 106 114 118 146 159 177 190 219 265 285 295 318 354 365 438 530 570 590 730 795 885 1007 1095 1121 1387 1590 1770 2014 2190 2242 2774 3021 3127 3363 3869 4161 4307 5035 5605 6042 6254 6726 6935 7738 8322 8614 9381 10070 11210 11607 12921 13870 15105 15635 16815 18762 19345 20805 21535 23214 25842 30210 31270 33630 38690 41610 43070 46905 58035 59413 64605 73511 81833 93810 116070 118826 129210 147022 163666 178239 220533 228271 245499 297065 356478 367555 409165 441066 456542 490998 594130 684813 735110 818330 891195 1102665 1141355 1227495 1369626 1782390 2205330 2282710 2454990 3424065 4337149 6848130 8674298 13011447 21685745 26022894 43371490 65057235 130114470