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1156754130 = 235747233503
BaseRepresentation
bin100010011110010…
…1010101011010010
32222121122012100120
41010330222223102
54332112113010
6310441131110
740444151010
oct10474525322
92877565316
101156754130
11543a59554
12283489a96
131558623cc
14ad8b38b0
156b846e70
hex44f2aad2

1156754130 has 128 divisors (see below), whose sum is σ = 3260694528. Its totient is φ = 257152512.

The previous prime is 1156754099. The next prime is 1156754147. The reversal of 1156754130 is 314576511.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1156754091 and 1156754100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2299459 + ... + 2299961.

It is an arithmetic number, because the mean of its divisors is an integer number (25474176).

Almost surely, 21156754130 is an apocalyptic number.

1156754130 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 1156754130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630347264).

1156754130 is an abundant number, since it is smaller than the sum of its proper divisors (2103940398).

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

1156754130 is a wasteful number, since it uses less digits than its factorization.

1156754130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1156754130 is about 34011.0883389520. The cubic root of 1156754130 is about 1049.7366323587.

It can be divided in two parts, 115675 and 4130, that added together give a triangular number (119805 = T489).

The spelling of 1156754130 in words is "one billion, one hundred fifty-six million, seven hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 233 235 282 329 466 470 503 658 699 705 987 1006 1165 1398 1410 1509 1631 1645 1974 2330 2515 3018 3262 3290 3495 3521 4893 4935 5030 6990 7042 7545 8155 9786 9870 10563 10951 15090 16310 17605 21126 21902 23641 24465 32853 35210 47282 48930 52815 54755 65706 70923 76657 105630 109510 117199 118205 141846 153314 164265 165487 229971 234398 236410 328530 330974 351597 354615 383285 459942 496461 585995 703194 709230 766570 820393 827435 992922 1149855 1171990 1640786 1654870 1757985 2299710 2461179 2482305 3515970 4101965 4922358 4964610 5508353 8203930 11016706 12305895 16525059 24611790 27541765 33050118 38558471 55083530 77116942 82625295 115675413 165250590 192792355 231350826 385584710 578377065 1156754130