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1396703232 = 2223237
BaseRepresentation
bin101001101000000…
…0000000000000000
310121100010212122100
41103100000000000
510330024000412
6350332110400
746416532041
oct12320000000
93540125570
101396703232
116574478a1
1232b905400
13193496022
14d36d48c8
1582942edc
hex53400000

1396703232 has 138 divisors (see below), whose sum is σ = 4143971858. Its totient is φ = 452984832.

The previous prime is 1396703227. The next prime is 1396703257. The reversal of 1396703232 is 2323076931.

It can be written as a sum of positive squares in only one way, i.e., 1358954496 + 37748736 = 36864^2 + 6144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748718 + ... + 37748754.

Almost surely, 21396703232 is an apocalyptic number.

1396703232 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 1396703232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071985929).

1396703232 is an abundant number, since it is smaller than the sum of its proper divisors (2747268626).

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

1396703232 is an frugal number, since it uses more digits than its factorization.

1396703232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1396703232 is about 37372.4929861523. The cubic root of 1396703232 is about 1117.8101428859.

The spelling of 1396703232 in words is "one billion, three hundred ninety-six million, seven hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2048 2304 2368 2664 3072 3552 4096 4608 4736 5328 6144 7104 8192 9216 9472 10656 12288 14208 16384 18432 18944 21312 24576 28416 32768 36864 37888 42624 49152 56832 65536 73728 75776 85248 98304 113664 131072 147456 151552 170496 196608 227328 262144 294912 303104 340992 393216 454656 524288 589824 606208 681984 786432 909312 1048576 1179648 1212416 1363968 1572864 1818624 2097152 2359296 2424832 2727936 3145728 3637248 4194304 4718592 4849664 5455872 6291456 7274496 9437184 9699328 10911744 12582912 14548992 18874368 19398656 21823488 29097984 37748736 38797312 43646976 58195968 77594624 87293952 116391936 155189248 174587904 232783872 349175808 465567744 698351616 1396703232