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1031420952 = 23344433593
BaseRepresentation
bin111101011110100…
…011110000011000
32122212210121120000
4331132203300120
54103020432302
6250202533000
734362635112
oct7536436030
92585717500
101031420952
1148a234911
12249507160
131358bbb73
149adaa3b2
156083b31c
hex3d7a3c18

1031420952 has 80 divisors (see below), whose sum is σ = 2896260840. Its totient is φ = 342935424.

The previous prime is 1031420899. The next prime is 1031420953. The reversal of 1031420952 is 2590241301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031420953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 285268 + ... + 288860.

Almost surely, 21031420952 is an apocalyptic number.

1031420952 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 1031420952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448130420).

1031420952 is an abundant number, since it is smaller than the sum of its proper divisors (1864839888).

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

1031420952 is a wasteful number, since it uses less digits than its factorization.

1031420952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1031420952 is about 32115.7430553926. The cubic root of 1031420952 is about 1010.3658289853.

The spelling of 1031420952 in words is "one billion, thirty-one million, four hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 443 648 886 1329 1772 2658 3544 3593 3987 5316 7186 7974 10632 10779 11961 14372 15948 21558 23922 28744 31896 32337 35883 43116 47844 64674 71766 86232 95688 97011 129348 143532 194022 258696 287064 291033 388044 582066 776088 1164132 1591699 2328264 3183398 4775097 6366796 9550194 12733592 14325291 19100388 28650582 38200776 42975873 57301164 85951746 114602328 128927619 171903492 257855238 343806984 515710476 1031420952