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130433436 = 22337374663
BaseRepresentation
bin1111100011001…
…00000110011100
3100002102201001000
413301210012130
5231342332221
620535350300
73142444260
oct761440634
9302381030
10130433436
1167698631
1237822390
132103ab63
14134740a0
15b6b6e26
hex7c6419c

130433436 has 96 divisors (see below), whose sum is σ = 396999680. Its totient is φ = 36251712.

The previous prime is 130433431. The next prime is 130433441. The reversal of 130433436 is 634334031.

It is an interprime number because it is at equal distance from previous prime (130433431) and next prime (130433441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130433431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25641 + ... + 30303.

Almost surely, 2130433436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130433436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198499840).

130433436 is an abundant number, since it is smaller than the sum of its proper divisors (266566244).

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

130433436 is a wasteful number, since it uses less digits than its factorization.

130433436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 130433436 is about 11420.7458600566. The cubic root of 130433436 is about 507.1420770546.

Adding to 130433436 its reverse (634334031), we get a palindrome (764767467).

The spelling of 130433436 in words is "one hundred thirty million, four hundred thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 4663 6993 9324 9326 13986 13989 18652 27972 27978 32641 41967 55956 65282 83934 97923 125901 130564 167868 172531 195846 251802 293769 345062 391692 503604 517593 587538 690124 881307 1035186 1175076 1207717 1552779 1762614 2070372 2415434 3105558 3525228 3623151 4658337 4830868 6211116 7246302 9316674 10869453 14492604 18633348 21738906 32608359 43477812 65216718 130433436