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1960505532 = 223937673
BaseRepresentation
bin111010011011010…
…1111000010111100
312001122001000000000
41310312233002330
513003342134112
6522312234300
766404010366
oct16466570274
95048030000
101960505532
11916721907
1246869b990
1325322995b
14148537d36
15b71b07dc
hex74daf0bc

1960505532 has 120 divisors (see below), whose sum is σ = 5293180816. Its totient is φ = 634894848.

The previous prime is 1960505471. The next prime is 1960505537. The reversal of 1960505532 is 2355050691.

1960505532 is a `hidden beast` number, since 19 + 60 + 50 + 5 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960505537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2912748 + ... + 2913420.

Almost surely, 21960505532 is an apocalyptic number.

1960505532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960505532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646590408).

1960505532 is an abundant number, since it is smaller than the sum of its proper divisors (3332675284).

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

1960505532 is an frugal number, since it uses more digits than its factorization.

1960505532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 1960505532 is about 44277.5962762208. The cubic root of 1960505532 is about 1251.5725343723.

The spelling of 1960505532 in words is "one billion, nine hundred sixty million, five hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 673 729 972 999 1332 1346 1458 1998 2019 2187 2692 2916 2997 3996 4038 4374 5994 6057 6561 8076 8748 8991 11988 12114 13122 17982 18171 19683 24228 24901 26244 26973 35964 36342 39366 49802 53946 54513 72684 74703 78732 80919 99604 107892 109026 149406 161838 163539 218052 224109 242757 298812 323676 327078 448218 485514 490617 654156 672327 728271 896436 971028 981234 1344654 1456542 1471851 1962468 2016981 2689308 2913084 2943702 4033962 4415553 5887404 6050943 8067924 8831106 12101886 13246659 17662212 18152829 24203772 26493318 36305658 52986636 54458487 72611316 108916974 163375461 217833948 326750922 490126383 653501844 980252766 1960505532