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1375112040 = 233523601829
BaseRepresentation
bin101000111110110…
…1000101101101000
310112211111221002120
41101331220231220
510304012041130
6344241231240
746035155001
oct12175505550
93484457076
101375112040
11646240035
12324632520
1318bb76583
14d08b41a8
1580aca910
hex51f68b68

1375112040 has 128 divisors (see below), whose sum is σ = 4317062400. Its totient is φ = 349747200.

The previous prime is 1375112009. The next prime is 1375112047. The reversal of 1375112040 is 402115731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1375112040.

It is not an unprimeable number, because it can be changed into a prime (1375112047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1658346 + ... + 1659174.

It is an arithmetic number, because the mean of its divisors is an integer number (33727050).

Almost surely, 21375112040 is an apocalyptic number.

1375112040 is a gapful number since it is divisible by the number (10) 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 1375112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158531200).

1375112040 is an abundant number, since it is smaller than the sum of its proper divisors (2941950360).

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

1375112040 is a wasteful number, since it uses less digits than its factorization.

1375112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1375112040 is about 37082.5031517561. The cubic root of 1375112040 is about 1112.0202474618.

Adding to 1375112040 its reverse (402115731), we get a palindrome (1777227771).

The spelling of 1375112040 in words is "one billion, three hundred seventy-five million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 601 690 829 920 1202 1380 1658 1803 2404 2487 2760 3005 3316 3606 4145 4808 4974 6010 6632 7212 8290 9015 9948 12020 12435 13823 14424 16580 18030 19067 19896 24040 24870 27646 33160 36060 38134 41469 49740 55292 57201 69115 72120 76268 82938 95335 99480 110584 114402 138230 152536 165876 190670 207345 228804 276460 286005 331752 381340 414690 457608 498229 552920 572010 762680 829380 996458 1144020 1494687 1658760 1992916 2288040 2491145 2989374 3985832 4982290 5978748 7473435 9964580 11459267 11957496 14946870 19929160 22918534 29893740 34377801 45837068 57296335 59787480 68755602 91674136 114592670 137511204 171889005 229185340 275022408 343778010 458370680 687556020 1375112040