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1152345090 = 2351321671361
BaseRepresentation
bin100010010101111…
…0110010000000010
32222022100012021210
41010223312100002
54330000020330
6310202430550
740361525451
oct10453662002
92868305253
101152345090
11541517a16
12281b02456
1315497a600
14ad086b98
156b2758b0
hex44af6402

1152345090 has 96 divisors (see below), whose sum is σ = 3014879616. Its totient is φ = 281748480.

The previous prime is 1152345043. The next prime is 1152345091. The reversal of 1152345090 is 905432511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1152345091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846010 + ... + 847370.

It is an arithmetic number, because the mean of its divisors is an integer number (31404996).

Almost surely, 21152345090 is an apocalyptic number.

1152345090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152345090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507439808).

1152345090 is an abundant number, since it is smaller than the sum of its proper divisors (1862534526).

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

1152345090 is a wasteful number, since it uses less digits than its factorization.

1152345090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1551 counting only the distinct ones).

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

The square root of 1152345090 is about 33946.2087721147. The cubic root of 1152345090 is about 1048.4012221925.

The spelling of 1152345090 in words is "one billion, one hundred fifty-two million, three hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 169 195 334 338 390 501 507 835 845 1002 1014 1361 1670 1690 2171 2505 2535 2722 4083 4342 5010 5070 6513 6805 8166 10855 13026 13610 17693 20415 21710 28223 32565 35386 40830 53079 56446 65130 84669 88465 106158 141115 169338 176930 227287 230009 265395 282230 423345 454574 460018 530790 681861 690027 846690 1136435 1150045 1363722 1380054 2272870 2300090 2954731 3409305 3450135 5909462 6818610 6900270 8864193 14773655 17728386 29547310 38411503 44320965 76823006 88641930 115234509 192057515 230469018 384115030 576172545 1152345090