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5142530120 = 2357131974357
BaseRepresentation
bin1001100101000010…
…01100100001001000
3111021101120121010112
410302201030201020
541012441430440
62210142133452
7241302533120
oct46241144110
914241517115
105142530120
1121a9907aa2
12bb6281288
1363c543740
1436ada3c80
1520170c965
hex13284c848

5142530120 has 128 divisors (see below), whose sum is σ = 14990572800. Its totient is φ = 1541846016.

The previous prime is 5142530119. The next prime is 5142530149. The reversal of 5142530120 is 210352415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31982 + ... + 106338.

It is an arithmetic number, because the mean of its divisors is an integer number (117113850).

Almost surely, 25142530120 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 5142530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495286400).

5142530120 is an abundant number, since it is smaller than the sum of its proper divisors (9848042680).

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

5142530120 is a wasteful number, since it uses less digits than its factorization.

5142530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74407 (or 74403 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5142530120 is about 71711.4364658804. The cubic root of 5142530120 is about 1726.0721607457.

Adding to 5142530120 its reverse (210352415), we get a palindrome (5352882535).

The spelling of 5142530120 in words is "five billion, one hundred forty-two million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 74357 148714 297428 371785 520499 594856 743570 966641 1040998 1412783 1487140 1933282 2081996 2602495 2825566 2974280 3866564 4163992 4833205 5204990 5651132 6766487 7063915 7733128 9666410 9889481 10409980 11302264 13532974 14127830 18366179 19332820 19778962 20819960 27065948 28255660 33832435 36732358 38665640 39557924 49447405 54131896 56511320 67664870 73464716 79115848 91830895 98894810 128563253 135329740 146929432 183661790 197789620 257126506 270659480 367323580 395579240 514253012 642816265 734647160 1028506024 1285632530 2571265060 5142530120