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1950054132 = 22313192311117
BaseRepresentation
bin111010000111011…
…0111011011110100
312000220101000101010
41310032313123310
512443203213012
6521300232220
766216121005
oct16416673364
95026330333
101950054132
11910833594
1246509b670
1325100a7b0
14146db71ac
15b62e8c3c
hex743b76f4

1950054132 has 144 divisors (see below), whose sum is σ = 5343217152. Its totient is φ = 549607680.

The previous prime is 1950054131. The next prime is 1950054137. The reversal of 1950054132 is 2314500591.

It is a super-2 number, since 2×19500541322 = 7605422235460546848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1950054132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950054131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745238 + ... + 1746354.

Almost surely, 21950054132 is an apocalyptic number.

1950054132 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 1950054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671608576).

1950054132 is an abundant number, since it is smaller than the sum of its proper divisors (3393163020).

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

1950054132 is a wasteful number, since it uses less digits than its factorization.

1950054132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1950054132 is about 44159.4172515897. The cubic root of 1950054132 is about 1249.3445378489.

The spelling of 1950054132 in words is "one billion, nine hundred fifty million, fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 361 372 403 494 589 722 741 806 988 1083 1117 1178 1209 1444 1482 1612 1767 2166 2234 2356 2418 2964 3351 3534 4332 4468 4693 4836 6702 7068 7657 9386 11191 13404 14079 14521 15314 18772 21223 22382 22971 28158 29042 30628 33573 34627 42446 43563 44764 45942 56316 58084 63669 67146 69254 84892 87126 91884 103881 127338 134292 138508 145483 174252 207762 254676 275899 290966 403237 415524 436449 450151 551798 581932 657913 806474 827697 872898 900302 1103596 1209711 1315826 1350453 1612948 1655394 1745796 1800604 1973739 2419422 2631652 2700906 3310788 3947478 4838844 5242081 5401812 7894956 8552869 10484162 12500347 15726243 17105738 20968324 25000694 25658607 31452486 34211476 37501041 50001388 51317214 62904972 75002082 102634428 150004164 162504511 325009022 487513533 650018044 975027066 1950054132