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3145050960 = 243541437433
BaseRepresentation
bin1011101101110101…
…1010101101010000
322010011222010211220
42323131122231100
522420113112320
61240025205040
7140636330532
oct27335325520
98104863756
103145050960
111374332377
12739330780
133b176c8cc
1421b9a3852
15136196e40
hexbb75ab50

3145050960 has 160 divisors (see below), whose sum is σ = 10221095808. Its totient is φ = 799088640.

The previous prime is 3145050947. The next prime is 3145050971. The reversal of 3145050960 is 690505413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419404 + ... + 426836.

Almost surely, 23145050960 is an apocalyptic number.

3145050960 is a gapful number since it is divisible by the number (30) 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 3145050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110547904).

3145050960 is an abundant number, since it is smaller than the sum of its proper divisors (7076044848).

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

3145050960 is a wasteful number, since it uses less digits than its factorization.

3145050960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 3145050960 is about 56080.7539178995. The cubic root of 3145050960 is about 1465.1291044729.

The spelling of 3145050960 in words is "three billion, one hundred forty-five million, fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 43 48 60 80 82 86 120 123 129 164 172 205 215 240 246 258 328 344 410 430 492 516 615 645 656 688 820 860 984 1032 1230 1290 1640 1720 1763 1968 2064 2460 2580 3280 3440 3526 4920 5160 5289 7052 7433 8815 9840 10320 10578 14104 14866 17630 21156 22299 26445 28208 29732 35260 37165 42312 44598 52890 59464 70520 74330 84624 89196 105780 111495 118928 141040 148660 178392 211560 222990 297320 304753 319619 356784 423120 445980 594640 609506 639238 891960 914259 958857 1219012 1278476 1523765 1598095 1783920 1828518 1917714 2438024 2556952 3047530 3196190 3657036 3835428 4571295 4794285 4876048 5113904 6095060 6392380 7314072 7670856 9142590 9588570 12190120 12784760 13104379 14628144 15341712 18285180 19177140 24380240 25569520 26208758 36570360 38354280 39313137 52417516 65521895 73140720 76708560 78626274 104835032 131043790 157252548 196565685 209670064 262087580 314505096 393131370 524175160 629010192 786262740 1048350320 1572525480 3145050960